Level 2
Luke was running in a 480-m race with Peter. When Luke was 265 m away from the starting line, Peter was 170 m away from the starting line. How far apart were they?
2 m
Level 3
A rectangular tank has a volume of 1920 cm3. Given that the ratio of its length to its breadth is 5 : 3 and its height is 8 cm, find the length of the tank.
3 m
Level 2
The distance between Jeal's home and the park is 250 m. After walking a distance from his home to park, he stopped and walked back another 150 m to look for his missing notebook. He was 20 m from home. How far was he from park?
2 m
Level 2
The distance between Jenny's home and the bookstore is 500 m. After walking a distance from her home to the bookstore, she stopped and walked 90 m back to a pet shop. If the pet shop is 150 m away from her home, how far had she walked before she stopped and walked back?
2 m
Level 3
Helen used a ribbon of length 1 m 40 cm to tie a cubical gift box with a bow as shown. She used 36 cm of ribbon for the bow. What was the volume of the gift box?
3 m
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm. After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
3 m
Level 2 PSLE
Jasmine had a piece of ribbon 17p cm long. She formed a triangle, with sides measuring p cm, 5p cm and 30 cm, with part of the wire.
  1. Express the length of the remaining ribbon in terms of p in the simplest form.
  2. Jasmine used the remaining ribbon to form a rectangle of length 3p cm. If p = 8, what was the breadth of the rectangle?
3 m
Level 3
Lucy used 712 m of string to tie a pile of magazines and had 13 m of string left. What was the original length of string she had at first?
3 m
Level 3
Victor needed exactly 90 m of cloth to make 18 small identical banners and 9 big identical banners. He had some cloth which was just enough to make all the small banners and 5 big banners. He used 12112 cm for each small banner.
  1. How much cloth would he need to make 1 big banner?
  2. How much cloth was he short of to make the remaining big banners?
4 m
Level 3
In the figure, ABC and ADE are right-angled isosceles triangles. BD = CE = 2 cm. The shaded area is 22 cm2. Find the length of AC.
2 m
Level 2
The width and height of the cuboid are the same. Its length is twice of its width. Find the volume of the cuboid.
3 m
Level 2
Josephine completed 4 jumps in the standing broad jump during NAPFA test. The total distance covered in her jumps was 394.8 cm. The distances covered for her first and second jumps were 97.7 cm and 98.9 cm. The distances covered for her third and fourth jumps were the same. What was the distance covered for the fourth jump?
2 m
Level 2 PSLE
The shaded figure is formed by two identical circles with centres at A and C. ABCD is a square and the length of AB is 7 cm. Find the perimeter of the shaded figure. (Take π = 227)
2 m
Level 3 PSLE
All 22 children were assigned to welcome visitors to a kindergarten function. They were to line up in a row from one end to the other end at an equal spacing of 1.2 m apart. On the day of the function, 7 of the children did not turn up. As a result, the remaining children had to line up from one end to the other end of the corridor at a new equal spacing. What was the new spacing between 2 children? Express the answer in metres.
4 m
Level 3
The length of Cube X is 3 times that of the length of Cube Y. The volume of Cube Y is 64 cm3. Find the difference between the volume of the two cubes.
3 m
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
2 m
Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release 14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
  1. What is the length of Tank A?
  2. How many m3 of water are there in Tank B?
3 m
Level 2
Suresh had 1 m of string. He cut 3 pieces of string, each measuring 20 cm and gave them to his sister. What fraction of the string was left?
3 m
Level 3
A cuboid has a volume of 300 cm3. Its base is a rectangle which has a perimeter of 32 cm. The ratio of the length to the breadth of the rectangle is 5 : 3. Find its height.
3 m
Level 3
Study the diagram. Answer the following.
  1. What is the total length of Lace A and B?
  2. How much longer is Lace D than Lace B?
4 m