Level 3
Figure A is a square with perimeter 64 m is folded into half as shown. What is the area of the new Figure B?
3 m
Level 3
The figure shows a tank 45 filled with water. The tank is made up of two cuboids. The top cuboid has a square base of length 10 m and a height of 16 m. The bottom cuboid has a square base of length 5 m and height 12 m. Find the height of the water level from the base of the container.
4 m
Level 3
In the figure, not drawn to scale, ABCD is a trapezium and PQCR is a square. AB//CQ. The size of ∠DCR is 54 of ∠DCQ . Find ∠ADC.
3 m
Level 3 PSLE
There are some stickers in albums A and B. 50% of the stickers in album A and 20% of the stickers in album B are round stickers. There is an equal number of square stickers in both albums. If there are 51 more round stickers in album A than in album B, how many stickers are there in both albums altogether?
4 m
Level 3
Observe the following figures.
  1. Find the number of small triangles in Figure 4.
  2. Find the number of small triangles in Figure 50.
  3. Find the number of sticks in Figure 100.
4 m
Level 3
The figure is made up of identical cubes. If the volume of the solid is 702 cm3,
  1. Find the total surface area of the figure.
  2. How many more of such cubes is to be added to form a cube of side 54 cm?
4 m
Level 3
One minute ago, 80% of the students in a parade square were girls. 143 more students entered the parade square. As a result, the number of girls increased by 40% and the number of boys increased by 60%. How many students are in the parade square now?
4 m
Level 3
The figure is not drawn to scale. It shows the net of a solid. It is made up of 4 identical rectangles and 2 identical squares. Line A is 30 cm long and Line B is 15 cm long.
  1. Find the volume of the solid.
  2. This solid is a cardboard carton containing small boxes of sweets. Each box of sweets is 3 cm by 2 cm by 1 cm. If all these small boxes of sweets in the carton occupy more than 75% of the carton's volume, what is the minimum number of small boxes of sweets in the carton?
4 m
Level 3 PSLE
A rectangular block A was cut along the dotted line into two smaller rectangular blocks of equal height, B and C, as shown. The volume of C is 1400 cm3 more than that of B.
  1. What is the height of each block?
  2. Pete packed 6 of block C such that they fit exactly into a box with a square base. The box has the same height as C. At most, how many of block B can be packed into such a box?
4 m
Level 2
Abby used a piece of wire 3.68 m long to make 4 squares as shown. What is the length of AB?
3 m
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
Level 3
In the figure, ABCD is a square of area 81 cm2. What is the perimeter of the figure?
3 m
Level 3
A square of 1 cm is cut from each corner of a rectangle. What is the perimeter of the figure?
3 m
Level 2
The figure is made up of two identical rectangles and a square. Find the perimeter of the figure.
3 m
Level 3
The figure is made up of rectangle ABGH and square CDEF. What is the total length of BC and GF?
3 m
Level 3
In the figure, The area of the Square A is 16 cm2 and the area of Square B is 36 cm2. Find the perimeter of the figure.
3 m
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
Level 3
Two corners of a square are folded as shown in the figure. Find ∠ABC.
3 m
Level 3
In the figure, MNOP is a square and OPQ is an equilateral triangle. Find ∠a.
3 m
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