401 P5.WN.JM.17082920
Level 3
In the working, A, B, C, D, E and F are 2-digit numbers. If A is 20, B is the 4th multiple of A, C is the 3rd multiple of 11, D is the volume of a cube with length of 4 units, and F is the 4th multiple of 11, what is E?
3 m
W Multiplication & division Multiples
402 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
403 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
404 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
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.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
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 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
409 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
410 P6.AP.TL.17090791
Level 3
The figure, not drawn to scale, is made up of semicircles in a rectangle ABCD. XY is the common baseline for all the semi-circles.
  1. Find the length of AB.
  2. Using the calculator π, find the perimeter of the shaded parts. Give the answer correct to 2 decimal places.
3 m
Length Rectangle Semicircle Composite figure perimeter D Place values D Round off
411 P5.PC.JM.17083126
Level 3
A rectangle is 25 cm long and 20 cm wide. Its length is now increased by 40% and its breadth is increased by 50%. Find the perimeter of the new rectangle.
4 m
Percent change by Area Perimeter Rectangle
412 P4.AP.JM.17100164
Level 3
The figure is made up of rectangle ABGH and square CDEF. What is the total length of BC and GF?
3 m
Length Square Rectangle Rectilinear figure Composite figure perimeter
413 P5.PC.JM.17083113
Level 3
The length and the breadth of a rectangle are both decreased by 20%. By how many percentage will its area be decreased by?
4 m
Percent change by Percent change Area Perimeter Rectangle
414 P4.AP.JM.17100206
Level 3
The figure is made up of 2 squares. The length of the smaller square is half the length of the bigger square. Given that the perimeter of the whole figure is 60 cm, find the length of the bigger square.
3 m
Length Square Rectilinear figure Composite figure perimeter Fraction to units Units method
415 P4.AP.JM.17100178
Level 3
The figure is made up of rectangle RSTU and squares PQYX and WYUV. The length of PQ is equal to the length of RS. The length of PX is twice the length of UV. Find the length of QR.
3 m
Length Square Rectangle Rectilinear figure Composite figure perimeter Equal stage Model Times-as-many Units method
416 P5.AP.JM.17083178
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m
Square Rectangle Rectilinear figure Composite figure perimeter Units method
417 P4.DE.JM.171010148
Level 3
In Sunshine Primary School, flag poles are placed at equal distance apart in a straight line. The distance between the 1st and 5th flag pole is 11.6 m. There are a total of 8 flag poles. What is the distance between the first and the last flag pole?
3 m
D Multiplication Length Intervals
418 P4.AP.JM.17100251
Level 3
A pool is surrounded by a footpath as shown. The length of the footpath is 55 metres and its breadth is 25 of its length. Find the area of the pool.
3 m
Rectilinear figure Composite figure area F Multiplication
419 P4.DE.JM.171010147
Level 3
6 boxes are arranged at equal distance from each other as shown. What is the distance from the first to the last box?
3 m
D 4 operations Length Intervals
420 P5.AP.NK.23102501
Level 3
In the figure, ABCD is a rectangle. E is a point on line AB. F and G are points on line DC. The total shaded area of triangles DEF and FBG is 112 cm2. AD = 14 cm and GC = 4 cm. Find the area of rectangle ABCD.
3 m
Length Rectangle Triangle Composite figure area

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