P5 - Whole Numbers, Area, Perimeter, Angles, Net, Data Analysis, Num Pattern, Volume, Rate, Speed
for Primary 5 Students
This course is targeted at Singapore primary school level 5, but is also suitable for primary school level 6 students.
In particular, pay attention to how we solve "Whole Number" type questions. Students will be introduced to methods without use of bar models. Here is our blog post Comparing Bar Model and Non Bar Model Solutions. Here is our post discussing Freed from Singapore “Bar Model” Math.
Based on feedback, many parents have used the videos to learn the methods to help their children to learn faster.
Math Arena students gain an edge using techniques that we teach here in our videos, these methods provide accuracy and speed. We believe it also provides better understanding of their solution to the question that they are solving.
It can also be used as independent learning or for revision.
Take note in our PDF files. the questions are arranged by similarity for easy question pattern recognition.
The Number of stars indicates level of difficulty. One star is fundamental, 2 stars are moderate. 3 and 4 stars are difficult and challenging. Note due to the student’s ability he may experience difficult questions as easy and easy questions as difficult. So do not be over anxious, if an “easy question” stumped you, just keep practicing.
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Math Arena
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P5WNV1-A - learnbrill
FREE PREVIEW1) Amy and Benny had 615 stickers. Benny and Charles had 318 stickers. Amy had 4 times as many stickers as Charles. How many stickers did Charles have?
2) On the Helix track, 51 cones were used to mark the total distance of the race. The distance between each cone is 2.4km. On the Felix track, lesser cones are used to mark the same total distance as the Helix track.
3) Lisa bought 57 kg of flour and 22 kg of sugar to bake some cakes. For each cake, the amount of flour required was 5 times the amount of sugar required. After baking 8 such cakes, there were 4 kg of flour and some sugar left.
4) Gerald bought an equal number of cupcakes and tarts for a party. The cupcakes were bought at 7 for $20 and the tarts were bought at 5 for $30. He paid $550 more for the tarts than for the cupcakes.
5) Isaac receives $12 more than Sam for their weekly allowances. Every week, each boy spends $60 and saves the rest of their allowances. After a few weeks, Isaac’s savings was $224 and Sam’s savings was $140.
6) The table below shows the price of roses on a normal day and on Valentine’s Day. Mary bought roses on a normal day and on Valentine’s Day. a. How much more does Mary need to pay for 1 dozen of stalks of roses on Valentine’s Day than on a normal day?
7) Fiona bought twice as many sharpeners as calculators. 4 sharpeners cost $56.80. The calculators were sold at 3 for $119.99. Fiona paid $139.16 more for the calculators. How many sharpeners did Fiona buy?
FREE PREVIEW8) Mr Tan was paid $5 for each flower pot delivered unbroken. He was paid $2 for each broken flower pot. He delivered a total of 305 flower pots and was paid $1363. How many flower pots did he deliver unbroken?
9) Pamela answered 55 questions in a quiz and scored 85 points. For every correctly answered question, Pamela got 3 points. She lost 2 points for every wrong answer given. How many questions did she answer incorrectly in all?
FREE PREVIEW10) Darren attempted all the 60 questions in a quiz and scored 195 marks. 5 marks were awarded for each correct answer but 2 marks were deducted for each wrong answer. How many questions did Darren answer incorrectly?
FREE PREVIEW11) There were some motorcycles and cars in a carpark. There were a total of 56 vehicles and 158 wheels. How many cars were there?
12) There were 30 questions in a Science online quiz. 3 marks were given for each correct answer and 1 mark was deducted for each wrong answer. Ken answered every question and scored 66 marks. How many questions did he answer wrongly?
13) At a fruit stall, the apples were sold at $0.50 each. Mangoes were sold at $2 each. Queenie bought a total of 35 mangoes and apples for $25. How many apples did she buy?
14) At a company’s event, 20 employees were allowed to bring along one or guests per person. There were a total of 53 people at the event. How many employees brought along 2 guests, assuming that all employees brought at least 1 guest?
15) Anthony attempted a Mathematic Quiz that consisted of 20 questions. 5 marks were awarded for every question that was answered correctly and 2 marks were deducted for every question that as answered wrongly.
16) In a shooting academy, the students have to shoot 80 targets. For every target hit, they will receive 6 points. Each missed target will result in 2 points deducted.
17) Maggie made some cookies for her friends. If she gave each friend 7 cookies, she would need another 18 cookies. If she gave each friend 10 cookies, she would need another 66 cookies.
18) Miss Lam bought a bag of sweets to give to a group of pupils. If each pupil received 7 sweets, Miss Lam would have 5 sweets left. If each pupil received 9 sweets, she would be short of 3 sweets. a. How many pupils were there?
19) Mei Ting wanted to buy some files which were of the same price. If she bought 18 such files, she would have $18 left over. If she bought 22 such files, she would be short of $16. How much money did Mei Ting have?
20) If Renee gave 7 picture cards to each of her friends, she would have 4 cards left. If she gave 8 picture cards, she would be short of 2 cards. How many cards did she have?
21) For every $5 Melissa saved, her mother gave her another $2. How much money was saved by Melissa if she had a total of $179 in the end?
22) Study the diagram below. Xiao Ming has $50. a. What is the maximum number of slices of pizzas that he can purchase? b. How much will Xiao Ming have after paying for the pizzas?
23) There were more than 20 children at Mr Tan’s party. When Mr Tan tried to divide the children into 5 equal groups, the last group was short of 2 children. When he tried to divide them into 7 equal groups, the last group was short of 4 children.
24) A shopping mall awards its shoppers 50 points for every $30 spent at the mall. An additional bonus of 60 points is also awarded for every $120 spent. Mrs Chua spent $1410 at the mall. How many points would she earn?
25) Trevor went to Bangkok to buy some posters to sell in Singapore. Each poster costs $0.30 and for every 50 pieces bought, he gets a discount of $1. The supplier also gave him 5 posters for every 100 pieces bought
P5WNV1-B - learnbrill
FREE PREVIEW1) Kimberly planned to finish reading a book in 16 days by reading 35 pages a day. In the end, she took 4 days longer to finish reading the book. How many pages did she read per day?
2) The sum of two numbers is 105. The difference between them is 21. What is the ratio of the smaller number to the bigger number? Express your answer in the simplest form.
3) At a toy factory, 78 workers each had to make the same number of dolls every day. 13 of the workers were transferred to make toy guns and the rest of the workers had to make 15 more dolls. How many dolls did each worker have to make at first?
4) Alice bought 16 pens at 4 for $2. She then had $10 left. How much money did she have at first?
5) Cindy spent some money on 25 exercise books. Using the same amount of money, Cindy could buy 16 pencils. Each exercise book costs 45 cents less than a pencil. How much does an exercise book cost?
6) Mina put 23 potted plants in a row from one end to the other end of the corridor. They were placed at an equal distance from one another. The distance between the first and the fifth potted plant was 28 m.
7) Alice made a necklace using black and white beads. She strung the beads in the following pattern. She used a total of 98 beads. How many white beads were there in the necklace?
8) Mr Anan sold an equal number of red files and blue files. He received a total amount of $276. Each red file cost $9.80 and each blue file cost $1.20 less than the red file. How many files did he sell?
9) A group of tourists ordered a set lunch each at a restaurant. The cost of the set lunch is $18 per person. For every 8 paying customers, the ninth customer does not need to pay.
10) Last Sunday, the ratio of the number of children who attended the funfair to the number of adults who attended was 5 : 2. The total amount collected for the tickets sold was $9052. How many tickets sold were for adults?
11) Daisy bought 4 similar caps and 3 similar T-shirts for $120. If she bought 3 similar caps and 4 similar T-shirts, she would pay $5 more. What was the cost of one cap?
12) Mohammad needed 6 identical bottles of water to fill up 4 identical tanks completely. 11.2 litre of water were needed to fill up 2 tanks and 5 bottles.
13) A bottle completely filled with soda has a mass of 950 g. When it is filled with soda, the mass is 550 g. a. What is the mass of the empty bottle? b. What is the mass of the bottle when it is half-filled with soda?
14) Megan can buy 10 apples and 16 oranges with $12. She can buy 24 oranges with the same amount of money. If she spends all her money on apples, how many apples can she buy with $70?
15) The total cost of 7 necklaces and 5 bracelets is $961. The cost of 3 bracelets is equal to the cost of 2 necklaces. What is the total cost of 1 necklace and 1 bracelet?
16) Teacher Mia went to the store and bought 3 pens and 5 pencils for $7.70. If each pencil cost half as much as each pen, what is the total cost of a pen and a pencil?
17) Alexia measured the length of 6 belts and 6 scarves. When she laid them out in a straight line, the total length is 8.4m. The length of 3 belts is equal to the length of 4 scarves. Find the total length of a belt and scarf.
18) 3 times the number of apples in a box is equal to 5 times the number of peaches in a box. If Mr Tan bought 6 boxes of apples and 10 boxes of peaches, the total number of fruits is 540.
19) A value meal consists of a cheese burger, a cup of corn and a packet of milk. The cheese burger costs $1.80 more than the cup of corn. The cup of corn costs $0.70 more than the packet of milk. The total cost of 5 sets of the value meal is $35.50.
20) Matilda bought 5 boxes of red bead and 5 boxes of blue bead. The total number of red and blue beads is 300. If 3 boxes of red bead is equal to 2 boxes of blue bead, how many red beads and how many blue beads are there in each box?
21) In Count Megastore, an oven cost $36.80 more than a blender. An oven cost $68.80 less than a microwave. Mr Tan paid $1196 for 4 ovens, 6 blenders and 2 microwaves for his café. a. Find the cost of one blender.
22) A wooden box containing 36 identical plates weighed 19.6 kg. Two identical frying pans and 12 such plates were added into the box. The mass of the wooden box with its contents then weighed 26.7 kg.
23) The cost of 5 bottles of detergent is equal to the cost of 4 body foam. Lisa bought 6 bottles of body foam and 8 bottles of detergent for $279. a. Find the cost of 2 bottles of body foam and 3 bottles of detergent.
P5WNV1-C - learnbrill
1) Sam is 8 years old and his uncle is 32 years older. In how many years’ time will his uncle’s age be three times Sam’s age?
2) In a cinema, each row had the same number of seats. Jack sat on one of the seats in the cinema. There were 5 seats on his left and 14 seats on his right.
3) Mr Ong could buy 80 shirts with all his money. If the price of each shirt was reduced by $12, he would be able to buy 30 more shirts. How much money does Mr Ong have?
4) Mr and Mrs Quek bought an apartment for $443000. They paid a down payment of $83000 and paid the remaining amount of monthly instalments over a period of 30 years. How much was each monthly instalment?
5) A sum of $55000 was given to a school to purchase laptops. A total of 36 laptops were purchased at $1288 each. What was the maximum number of additional laptops the school could purchase with the remaining amount of money?
6) Mr Taka spent $18200 on some ipads and laptops. Each ipad cost $940 and each laptop cost $560 more than each ipad. Mr Taka bought 4 more laptops than ipads. How many laptops did he buy?
7) There were a total of 60000 readers subscribing to 3 types of magazines. There were 9600 more readers who subscribed to Magazine X than Magazine Y. Magazine Y had 3 times as many readers as Magazine Z. How many readers subscribed to Magazine X?
8) Carol paid $11.52 for some 26-cent, 30-cent and 50-cent stamps. She bought 6 more 30-cent stamps than 50-cent stamps. There were twice as many 26-cent stamps as 30-cent stamps. How many 26-cent stamps did she buy?
9) Rajah gets $5 more allowance than Guan Ming each week. They each spend $22 on food every week and save the remainder. When Rajah saves $72, Guan Ming only saves $42. a. How much allowance does Rajah get each week?
10) Roxanne had some $2, $5 and $10 notes. The total amount of the 25 notes was $190. How much money did Roxanne have left after she spent all her $5 notes?
11) The ticket price for a charity funfair is given in the table below. A total of 300 files and notebooks were given to some children. Each child received 3 files and 2 notebooks. How many files were there?
12) A group of children shared a bag of sweets. Every boy was given 3 sweets and every girl was given 4 sweets. The ratio of the number of boys to the number of girls was 1 : 2.
13) For a school event, MacWendi was the sponsor for food. MacWendi provided 3684 burgers. These were all packed into several cartons and 1 smaller box. Each fully packed carton contained 48 burgers. a. How many fully packed cartons were there?
14) The total cost of 5 shirts and 10 blouses is $745. The total cost of 2 shirts and 3 blouses is $256. Find the total cost of 2 shirts and 5 blouses.
15) The mass of a container with 25 identical wooden blocks was 13.8 kg. Marcus removed a few wooden blocks. In the end, the mass of the container and the remaining 16 wooden blocks was 10.2kg. What was the mass of the empty container?
16) Natalie spent $5390 on some bracelet and anklets for her shop. The ratio of the price of a bracelet to the price of an anklet is 4:1. An anklet cost $7.
17) Mr Ho had 108 cups. He found that some of the cups were cracked and had to throw them away. He sold of the remaining cups at $4 each and the rest at $5 each. He collected $390. How many cups did he throw away?
18) There were five times as many boys as girls in a party. Each boy received 3 sweets and each girl received 7 sweets. There was a total of 792 sweets. Find the number of boys who were present.
19) A box containing 9 identical balls weighed 810 g. After 13 such balls were added into the box, the mass of the box and the balls became 1850 g. a. What is the mass of the box?
20) There were 540 adults and some children at a funfair. A total of 6120 packets of sweets were given away. Each child received 5 packets of sweets and each adult received 3 packets of sweets. a. How many children were there?
21) Sarah packed some chocolates in bags of 8.and some sweets in bags of 4. She sold each bag of chocolates at $2 and each bag of sweets at$5.50. She sold 8 times as many bags of sweets as chocolates and
22) Best Price Megastore sold some ovens and rice cookers for a total of $13582 during a sale. The cost of a rice cooker and an oven was $586. The oven cost $52 less than the rice cooker.
P5APV1-A
1) The sum of all the sides of triangle WZY is 126 cm. What is the area of triangle WZY?
2) ABC is a triangle made up of 2 similar triangles ABD and ACD. AB = BD = AD = CD. Find the area of ABC.
3) In the figure below, ABF and ADF are overlapping triangles. BG is thrice the length of DE. The area of triangle ADF is 138 cm2. If the ratio of the area of the shaded part to the area of the unshaded part in triangle ABF is 4:1,
4) The figure below is made up of two overlapping triangles. The length of EG is twice the length of BD. Given that EG is 10 cm and 1/4 of ABC is shaded, AD = DC = CG and DG = GF, find the total area of the shaded parts.
5) The square below has an area of 121cm2. Find the area of the shaded part.
6) In the diagram below, ABCD is a square and BEF is an isosceles triangle. The length of BF is 0.7 of the length of BC. If the perimeter of the square is 160 cm, find the area of the triangle BEF.
7) The figure below consists of 2 squares and Triangle PQR. PR = 24 cm. The length of the bigger square is twice the length of the smaller square. Find the area of Triangle PQR.
8) The figure below is formed by two rectangles. BCD and DEF are triangles. Find the area of the shaded region.
9) The figure below is made up of a triangle of base 60 cm overlapping with a rectangle of length 40 cm and breadth 30 cm. The area of the shaded part is 2/5 of the area of the triangle. What fraction of the figure is shaded?
10) In the figure below, there is a square with an area of 81cm2 and 2 triangles. Find the area of the figure.
11) The figure below is made up of 2 identical squares, a rectangle and a triangle. When the shaded triangle is cut off, the remaining area is 236 cm2. Given that AB = CD = EF = 4 cm and FG is 2/3 of HI, find the area of the shaded triangle.
12) The figure below, not drawn to scale, is made up of a rectangle and some triangles. Given that AB = 30 cm, EF = 1/4 of BC, find the area of the shaded part.
13) ABDE is a rectangle of length 75 cm and breadth 30.5 cm. CE is twice of AB. Find the difference between the area of triangle BCE and triangle BDE.
14) The figure below is made up of a square ABEF and a rectangle BCDE. The length of the square is 3/4 of the length of the rectangle. Find the total area of the shaded regions.
15) The figure below is made up of a rectangle and a square. Find the area of the shaded parts.
16) The figure, not drawn to scale, is made up of 4 identical squares. a. What fraction of the figure is shaded? b. Given that the perimeter of the figure is 80 cm, find the shaded area.
17) Kit had 2 pieces of wire of the same length. She bent the first piece of wire to form a rectangle as shown in the figure below. The she bent the second piece of wire to form 2 triangles.
18) In the figure below, ACDF shows a rectangular piece of paper of breadth 70 cm. Its length is twice its breadth. Jeannie coloured 4 identical triangles grey on the paper as seen in the figure.
19) In the figure below, ABCD is a rectangle with perimeter of 112 cm. EFCG is a square with an area of 144 cm2. AB = 26 cm. Find the total area of Triangle AEG and Triangle AEF.
20) In the figure shown, STUV and PQRS are squares of sides 4 cm and 7 cm respectively. Find the area of triangle UPR.
21) In the figure below, rectangle ACDF is made up of two rectangles ABEF and BCDE. The area of the rectangle ACDF is 672 cm2. Find the total area of the shaded regions.
22) The figure below is made up of a square ABFG and a rectangle BCDF. What is the ratio of the area of triangle AFH to the area of triangle BDE?
23) The figure below is made up of 2 squares, PQUV and RSTU. VU is 16 cm and UT is 12 cm. Find the area of the shaded part.
24) The figure below is made up of 2 squares. The perimeter is 134 cm. Find the area of the shaded part.
P5APV1-B - learnbrill
1) The ratio of the base of a triangle to its height is 4:7. The height of the triangle is 56 cm. Find the area of the triangle.
2) The length of a rectangle is 6 times its breadth. The breadth is 131/6 cm long. Find the area of the rectangle. Leave your answer as a mixed number in its simplest form.
3) In a function hall, chairs were arranged in rows such that there were exactly 9 chairs in each row. For a concert, Mr Chan brought 6 more chairs into the function hall and rearranged all the chairs.
4) The area of triangle CDE is 1/4 the area of rectangle ABCE. What is the length of BC?
5) The figure below shows a rectangle that is divided into 3 parts P, Q and R. The line XY divides the rectangle into 2 equal parts. The ratio of Area P to Area Q is 2:3. Area Q is 117 cm2. The breadth of the rectangle is 15 cm.
6) Rectangle CDEF is divided into 12 identical small rectangles as shown below. The perimeter of rectangle CDEF is 160 cm. a. What is the length of rectangle CDEF? b. What is the area of rectangle CDEF?
7) Eighteen similar-sized books are arranged in Book Shelf A as shown in Figure A. Thirteen of these books are then re-arranged in Book Shelf B as shown in Figure B. Both the book shelves are of the same size and are 64 cm long.
8) The figure below is not drawn to scale. Four similar right-angled triangles, J, K, L and M form the figure. Find the perimeter of WXYZ
9) The figure below is made up of 4 squares. Squares A and D are identical. The length of Square B is half of the length of Square C. Find the perimeter of the figure.
10) The following figure is made up of 3 rectangles EFGH, WXYZ and KLMN where EF = NM = 4 cm and XY = 24 cm. The area of the rectangle WXYZ is 3 times as much as combined area of rectangles EFGH and KLMN.
11) The figure below shows a square piece of paper of length 15 cm, folded at opposite corners A and B. What is the total area of the shaded parts of the figure?
12) A rectangular piece of paper is folded to form the shape below. The perimeter of the piece of paper is 80 cm, a. Find the width of the piece of paper b. Find the total area of the shaded parts
13) The following figure, with a perimeter of 78 cm, is made up of a rectangle and a square. The length of FED is 23 cm. What is the area of rectangle ACDF?
14) PQRS is a trapezium which is made up of a triangle, a rectangle and a trapezium, X, Y and Z respectively. Find the area of PQRS.
15) ACEG is made up of 4 identical squares. Points W, X, Y and Z are midpoints of HV, FV, DV and BV respectively. What is the total area of shaded parts in the figure below?
16) The figure below, not drawn to scale, shows a field which is surrounded by a path. The field has a 3 m path surrounding it. Find the area of the path.
17) The figure below shows a triangular play mat. Joy had 12 such pieces of triangular play mats. What was the total area of the 12 pieces of play mats?
18) The figure below, not drawn to scale, is made up of a square and a rectangle. 1/4 of the square and 2/11 of the rectangle is shaded. The area of the rectangle is 54 cm2 larger than the square.
19) The figure below shows a square of length 30 cm. Area C is 1/9 of Area A. Area B is 2/3 of Area A. The ratio of the total area of A and B to the total area of the square is 3:5. Find the total area of A, B and C.
20) The figure below shows 4 identical rectangles measuring 14cm by 8cm overlapping each other equally. The perimeter of each shaded rectangle is 22cm. What is the total area of the non-shaded parts?
21) The following solid was cut out from a rectangular wooden block measuring 37 cm by 19 cm by 7 cm. a. What is the volume of the solid? b. What is the total area of all faces of the solid?
1) Draw a triangle ABC in which AB = 5 cm, LABC = 45° and BC = 7 cm. What is the length of AC?
2) Find ∠ a, given that CDGH is a parallelogram and line AB is parallel to line CE
3) Find ∠ b.
4) Find ∠ d-∠ c.
5) In the figure, ABC is an equilateral triangle and ∠ BEC = 89°. Find ∠ ABD.
6) The figure shown below is not drawn to scale. Given that ABD is a triangle, find ∠ BAC.
7) In the figure below, not drawn to scale, ∠ PRQ = 108° and ∠ RVS = 41°. QT, UV and PV are straight lines. Find the sum of ∠ a, ∠ b, ∠ c and ∠ d.
8) ABC and DBE are straight lines. a. Find the sum of ∠ a + ∠ b + ∠ c + ∠ d. b. Find ∠ p.
9) The figure below is not drawn to scale. It shows 2 isosceles triangles, ABC and ACD. Given that AC = BC = CD, ∠ ACB = 126° and ∠ BCD = 118°. Find ∠ DAB.
10) The figure below shows a triangle KMN. B, C and D are points on the triangle such that BK = DK and CN = DN. If ∠ CDK = 113° and ∠ BDN = 99°. Find ∠ BMC.
11) The figure below shows a trapezium PQRS. ∠ PTQ = 81° and ∠ RST = 119°. Find ∠ PQT.
12) In the figure below, ABCD is a trapezium, CDEF is a parallelogram and AEF is a straight line. Find ∠ t.
13) Given that AB is parallel to CD, find ∠ m and ∠ n.
14) In the figure below not drawn to scale, IJKL is a trapezium and HK is a straight line. Find ∠ g.
15) In the figure below not drawn to scale, MNQR is a rhombus. MO and MP are straight lines. If MS and MQ are equal, find ∠ MNS and ∠ NOP.
16) The figure below is not drawn to scale. KLMN is a trapezium and KJN is an equilateral triangle. ∠ KMN = 38° and ∠ KML = 40°. Find ∠ JKM ∠ KLM
17) The figure below is not drawn to scale. PQRS is a parallelogram and STUV is a rhombus. Given that PQW is a straight line, LPSV = 45° and LSTU = 70°. Find LRQW.
18) The figure below, not drawn to scale, is made up of parallelogram ABDE and a rhombus BCDF. Given that LABC = 102°, find LBCD.
19) The figure below is not drawn to scale. JKOP is a parallelogram, KLNO is a square and QMP is a right-angled triangle. ∠ KJP = 74° and ∠ QMP = 22°. Find ∠ KXM ∠ MPO ∠ JKL
20) The figure below is not drawn to scale. PQRS is a square and RST is an equilateral triangle. Find ∠ f.
21) The figure below is made up of a triangle EFG enclosed in a square ABCD. Given that the ratio of ∠ AEF to ∠ DEG is 5:6, find ∠ q.
22) In the figure below, two squares are propped against each other between two poles. What is the value of ∠ x?
P5DANPV1-A - learnbrill
1) The average height of Li Shan, Shanti and Aminah is 1 m 15 cm. Li Shan is 10 cm taller than Shanti and Aminah is 8 cm taller than Shanti. What is Shanti’s height?
2) Aini, Meiling, Bala and John scored an average of 78 marks for their English test. If Aini had scored 96 marks, their average score would be 84 marks. How many marks did Aini score?
3) The average Math marks of Kathy, Anil and Sharifa was 79. Anil scored 11 marks fewer than Sharifa and Kathy scored 7 marks more than Anil. How many marks did Sharifa score for Math?
4) Jolene bought some apples at an average price of $1.20 each. She bought another 2 apples at $2.95 each and the average price became $1.45. How many apples did she buy altogether?
5) Lizanne spilled some ink on her result slip and covered some of her scores. The table below shows part of Lizanne’s scores for all 4 subjects.
6) Marilyn earns $3000 per month. The bar graph below shows the amount of money that she spent from January to April.
7) The average weight of Bag Q, Bag R and Bag S is 34.1kg. The weight of Bag Q is four times the weight of Bag R. Bag S is 18.3kg lighter than Bag Q. Find the average weight of Bag Q and Bag R.
8) Leslie, Merlyn and Nelly prepared some tarts for a party. The average number of tarts prepared by Leslie and Merlyn was 108. The average number of tarts Merlyn and Nelly prepared was 125.
9) The average number of beads in 4 packets, A, B, C and D is 103. Packet A has 104 beads. The total number of beads in Packet B and Packet C is 78 more than the number of beads in Packet D. What is the average number of beads in Packets A, B and C?
10) Study the pattern below and answer the following questions. These squares are made by laying out sticks as shown below.
11) Study the pattern. a. How many dots are there in Pattern 5? b. How many dots are there in Pattern 51? c. Which pattern will have 389 dots in it?
12) The tables and chairs in a restaurant are arranged as shown below.
13) Black and white triangles are used to form a sequence of patterns. The first three patterns are shown below.
14) Chloe used unit square of side 4 cm to build some figures. The first four figures are shown below.
15) Catherine drew some patterns of linking triangles using lines and dots. She then recorded the information in the following table.
16) Study the table and pattern carefully and answer the questions that follow.
17) Meiling used some toothpicks to form a series of squares. The first four figures are shown below. Study the pattern and answer the following questions.
18) Study the pattern carefully and answer the questions that follow. a. How many shaded squares are there in Pattern 5? b. How many unshaded squares are there in Pattern 5? c. In which pattern would there be 196 unshaded squares?
19) Study the following pattern formed by toothpicks carefully.
20) Look at the pattern given in the table below. a. Write down all the odd numbers in the 6th Group. b. What is the smallest odd number in the 20th Group? c. What is the largest odd number in the 20th Group?
21) The figure below shows the number of marbles Joseph bought from a shop each day. For each subsequent day, Joseph bought two more marbles than the previous day.
P5VRV1-A - learnbrill
1) A tap fills 3/7 of a tank in 2 hours. How many hours does the tap take to fill 3 such tanks?
2) Melissa used 30% of the cordial in the container to fill 16 bottles with 0.15l of cordial each. Given that the base area of the container is 400cm2, find the height of the container.
3) A tank with a square base of side 35 cm contained 12.6 litres of water at first. After another 7 litres of water was added, the tank was 2/3 filled. Find the height of the tank.
4) A rectangular tank 25cm by 12cm by 15cm is 3/5 filled with water. Find the volume of water in the tank. Find the volume of water required to fill up the tank to the brim.
5) Figure 1 shows a sealed container that has a rectangular base area of 8.6 cm2 and a height of 10 cm. It is filled with some water. Figure 2 shows the same container being turned upside down.
6) A water dispenser contained 13.5 litres of water. Some water was used to fill up 15 empty identical bottles. Each bottle had a capacity of 0.35 litres. 8.5 litres of water was added into the water dispenser.
7) A rectangular tank measures 50 cm by 35 cm by 42 cm. It is filled with water to its brim. All the water from the tank is poured into some 250 cm3 bottles and 2 pails. The capacity of each pail is 12 litres.
8) A water dispenser contained 13.5 litres of water. Some water was used to fill up 15 empty identical bottles. Each bottle had a capacity of 0.35 litres. 8.5 litres of water was added into the water dispenser.
9) A rectangular tank with a height of 17 cm and a square base of side 14 cm is completely filled with water. The water is then poured into some rectangular containers to the brim. Each container measures 5 cm by 4 cm by 7 cm.
10) A rectangular tank measures 50 cm by 35 cm by 42 cm. It is filled with water to its brim. All the water from the tank is poured into some 250 cm3 bottles and 2 pails. The capacity of each pail is 12 litres.
11) A rectangular vase measuring 20cm by 5cm by 16cm is a quarter filled with water. If 12 pebbles of volume 180cm3 each are placed in the vase, how much water will overflow?
12) A rectangular tank measuring 48cm long, 30cm wide and 36cm high was 5/6 filled with water. The water in the tank was then used to fill up some containers to the brim. The capacity of each container is 3l.
13) The total volume of the two cubes is 1843cm3. The small cube has a total surface area of 384cm2. a. Find the length of the big cube. b. Find the total surface area of the big cube.
14) The figure below shows two taps, Q and R and an empty container with a capacity of 140l. The water from Tap Q flows at a rate of 4.4l per minute and 5.8l per minute from Tap R. Tap Q was turned on first for 4 minutes before Tap R was turned on.
15) Mr Tan bought a rectangular fish tank with a base measuring 60 cm by 25 cm. He filled the tank with water using 2 taps, starting at the same time. Water flowed out of Tap A at a rate of 180 cm3 per minute while water flowed
16) At first, Tank X was 1/4 filled with water while Tank Y was 1/2 filled with water. Then all the water from Tank X was poured into Tank Y and Tank Y became 5/6 full. What was the height of Tank X?
17) The figure below shows two rectangular tanks, Tank A and Tank B. Tank A is 2/3 filled with water while Tank B is fully filled with water. How much more water is there in Tank A than Tank B?
18) Container A measuring 15 cm by 12 cm by 30 cm is filled with water to the brim. Container B is an empty rectangular container with the base 25cm by 9 cm. Water is then poured from Container A into
19) A carpenter removed a section of the wooden block such that it has a hollow centre going through from one end to the other as shown below. What is the volume of the remaining wooden block?
20) The figure below is not drawn to scale. Justin cut out a rectangular block from a wooden cuboid 15 cm long, 20 cm wide and 6 cm high as shown below. What is the volume of the remaining wooden block?
21) A solid cube has a smaller cube cut out from inside it. Find the ratio of the remaining volume to the volume of the cube cut out.
22) The following solid was cut out from a rectangular wooden block measuring 37 cm by 19 cm by 7 cm. a. What is the volume of the solid? b. What is the total area of all faces of the solid?
23) The table shows the charges for bicycle rental. Larry rented 2 bicycles at the same time and paid a total of $24. What is the maximum number of hours Larry rented the bicycles for?
24) The table shows the overseas postage rate for bulky items. Angie posted 2 parcels to her relatives in overseas. One parcel which weighed 5.2 kg was posted to Malaysia. The other parcel of mass 8.8 kg was posted to Brunei.
25) In a factory, Machine A produced a box every 3 minutes and Machine B produced a box every 4 minutes. a. If both machines started at the same time, how long did it take Machine A to produce 20 more boxes than Machine B?
26) The table below shows the charges for water consumption. a. Kelly and her family used 52 m3 of water in August. How much was the family charged for their water consumption?