401 P5.DA.NK.23012621
Level 3
In a class, 9 girls jumped an average of 1.37 m for their standing broad jump in their fitness test. The boys in the same class jumped an average of 1.65 m in the same test. The total average of the whole class was 1.56 m. How many boys were there?
3 m
2 Averages Average with unknown quantity Length Number x value Units equations Units table
402 P6.AP.TL.17090782
Level 3
The figure shows 4 identical circles in a square, WXYZ. The area of the square is 16 cm2. Find the area of the shaded part. (Take π = 3.14)
3 m
Length Square & square root Circle area
403 P3.FR.JC.18072601
Level 3
A ball is dropped from a height of 120 cm. Every time it hits the ground, it will rebound to half of its original height. What is the total distance the ball has travelled by the time it hits the ground for the 4th time?
4 m
Fraction of a whole W 4 operations Length
404 P6.DA.NK.21060921
Level 2 PSLE
The graph shows the fare a taxi company charges for the first 8 kilometres.
  1. How much is the taxi fare for the first kilometre?
  2. Zane paid $8 for his taxi ride. What was the distance he travelled?
  3. How much does the taxi company charge for every kilometre after 4 km of travel?
4 m
Line graph Length Money
405 P5.DA.NK.23052624
TRY FOR FREE
Level 3
The average height of a group of boys was 143 cm. After 6 girls with a total of 948 cm joined the group, the average height of all the children increased to 146 cm.
  1. What was the average height of the girls?
  2. How many boys were there in the group?
3 m
Attempt
2 Averages Average with unknown quantity Length Number x value Units equations Units table
406 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
407 P4.AP.JM.17100200
Level 3
All lines in the figure meet at right angles. What is the length of A?
3 m
Length Rectilinear figure Composite figure perimeter
408 P5.PC.JM.17083127
Level 3
A rectangle measures 20 cm by 16 cm. Its length and breadth are both increased by 25%. Find the percentage increase in its area.
4 m
Percent change by Area Perimeter Rectangle
409 P6.VO.JC.19091413
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
  1. How many small cubes does David have?
  2. The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
4 m
Volume of cuboid Volume of cube Cube & cube root Filling up with cubes LCM F Multiplication Units method
410 P6.AP.TL.17090769
Level 3 PSLE
LOPQ is a rectangular cardboard with LQ = 7 cm. Two quarter circles have been cut from it as shown. The remaining cardboard, which is the shaded part, has an area of 56 cm2. Using π = 227, find the length of MN.
3 m
Length Rectangle Quarter circle Composite figure perimeter

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