Level 3
Vivian and Kyle started cycling at uniform speeds from the same place in opposite direction round an 800-m forest trail. Vivian took 40 seconds to complete each round while Kyle took 50 seconds.
  1. Find the distance covered per second by Vivian in m.
  2. Find the distance covered per second by Kyle in m.
  3. When the two cyclists next met again at the starting point, how far would Vivian have covered? Express the answer in km.
3 m
Level 3
Bus X and Bus Y left the same bus station at uniform speeds in the same direction round a 48-km circular route. Bus X took 45 minutes to complete each round while Bus Y took 30 minutes.
  1. How long would it take Bus Y to meet Bus Y for the first time? Express the answer in mixed number of hours.
  2. How far would Bus X be behind Bus Y after 12 hour?
3 m
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
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
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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
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
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
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
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
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