101 P6.DE.JC.17111801
Level 3
Roger had two planks of the same length. He sawed one plank into equal parts of length 90 cm. In each part he drilled 6 small holes as shown in Figure 1. After that, he sawed the other plank into equal parts of length 1.5 m and in each part, he drilled 8 big holes as shown in Figure 2. When he finished drilling, he counted that there were 12 more small holes than big holes. If all the holes are spaced equally, how many holes were there altogether?
4 m
LCM Sets Length Unit conversion More than or less than Equal stage Intervals
102 P6.SP.TL.18012269
Level 3
Helen and Jomarie started off from the same place and drove at uniform speeds in the same direction round a 40-km circular racing track. Helen completed each round in 40 minutes. Jomarie took 50 minutes to complete each round.
  1. How far would Jomarie be behind Helen after 1 hour?
  2. How long after they started would it take Helen to meet Jomarie for the first time?
3 m
DST triangle Average speed Same starting point Meeting point Distance apart Circular track Unit conversion Duration LCM
103 P6.VO.NK.17080912
Level 3
310 of the tank is filled with water. Another 210 litres of water are needed to fill the tank to its brim.
  1. What is the volume of the tank?
  2. The Height of the tank is 60 cm and its length is 100 cm. Find the perimeter of its base.
4 m
Volume of cuboid Fraction of a whole Unit conversion Units method
104 P6.DE.JC.22031503
TRY FOR FREE
Level 3 PSLE
Heidi and Ian have the same total number of coins. Heidi has a number of fifty-cent coins and 62 twenty-cent coins. The total mass of her coins is 1.234 kg. Ian has a number of fifty-cent coins and 102 twenty-cent coins.
  1. Who has more money in coins? How much more in cents? Give your answers in this format. (Eg Adam, $12)
  2. Each fifty-cent coin is 2.6 g heavier than each twenty-cent coin. What is the total mass of Ian's coin in kg?
4 m
Attempt
Equal stage Gap & difference Money Mass Unit conversion More than or less than
105 P6.DE.JO.21042240
Level 3 PSLE
Betty and Zhulian each had a plate of dough of the same mass for making biscuits. The same mass of dough was used for each biscuit. Betty made 40 biscuits and had 50 g of dough left. Zhulian made 10 biscuits and had 1.1 kg of dough left.
  1. What was the mass of dough needed for each biscuit?
  2. With the remaining dough from both girls, how many more such biscuits can be made at most?
4 m
D Multiplication W Remainder Min-max Mass Unit conversion Equal stage Gap & difference
106 P6.AP.NK.21060426
Level 3 PSLE
A path of length 28 m is completely covered with identical tiles, following the pattern shown. The width of the path is 70 cm. How many tiles were used to cover the entire path?
3 m
Rectangle Tiling Unit conversion
107 P6.AP.TL.17090775
Level 3 PSLE
Six identical rectangular boxes can be stacked into a cupboard 0.9 m wide. Two arrangements are shown. The first arrangement in Figure A leaves a 42 cm gap at the top. The second one in Figure B leaves a 10 cm gap at the top and another gap at the side.
  1. In the arrangement shown in Figure B, what is the width of the gap at the side in m?
  2. What is the height of the cupboard in metres?
3 m
Length Rectangle Rectilinear figure Tiling Unit conversion Units equations
108 P6.AP.TL.17090779
Level 3
Tom built a car using two identical wheels of radius 2.9 cm each as shown. The distance between the centres of the two wheels is 59.2 cm. He rolled the car from one end of the room to the other end touching walls at both ends. The distance between the two walls is 11.2 m. How many complete revolutions did each wheel make? Take π = 3.14.
3 m
Circle Circumference Unit conversion Distance apart
109 P6.DE.TL.16010113
Level 3
2 honeydews and 3 mangosteens cost $2.20 altogether. 5 honeydews and 5 mangosteens cost $4.40 altogether. How much do 10 honeydews cost? Give the answer to 2 decimal place.
4 m
Money Unit conversion Units & parts Elimination
110 P6.VO.NK.17080915
Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
Height of cuboid Filling tank Fraction of a whole Ratio to units Unit conversion Rectangle Units method
111 P6.VO.NK.17053047
Level 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
  1. Find the new height of the water in Tank A.
  2. How many litres of water were poured into Tank B?
4 m
Base area x height Height of cuboid Volume transfer Volume common base area Volume common height Unit conversion
112 P6.DE.TL.16010142
Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.
5 m
Mass Unit conversion Times as many Repeated identity Units & parts & boxes Elimination
113 P6.DE.TL.16010143
Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.
5 m
Mass Unit conversion More than or less than Times as many Repeated identity Units & parts & boxes Elimination
114 P6.SP.TL.18012286
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
4 m
Rate of 1 object DST triangle Journey by parts Unit conversion Duration Volume Units method
115 P6.SP.JC.17080911
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
4 m
Rate 1 object Unit conversion Volume Filling up with cubes Filling tank Displacement Percent of a whole
116 P6.SP.JC.18011303
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
4 m
Rate more than 1 object Unit conversion Duration Volume
117 P6.SP.JC.21061106
Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.
  1. How many pages were there altogether in the set of notes?
  2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?
4 m
Rate more than 1 object Duration Unit conversion Number x value Units table
118 P6.SP.JC.18011323
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 113 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
  1. how long would it take to print the collection of books using only Printer U? Express your answer in hours.
  2. how long was Printer U used before it broke down? Express your answer in hours.
4 m
Rate more than 1 object Unit conversion Duration Volume
119 P6.SP.JC.21061109
Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
  1. With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
  2. Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
3 m
Rate more than 1 object Fraction of a whole Duration Volume Unit conversion Filling tank
120 P6.SP.JC.21061107
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
4 m
Rate more than 1 object Volume Unit conversion Filling tank

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