Level 3
The equilateral triangles are formed using 2 cm-sticks.
  1. How many sticks are needed to form pattern 5?
  2. In which pattern will each side of the triangle measure 32 cm?
  3. Calculate the number of shaded triangles in Pattern 100.
5 m
Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.
  1. Find the total distance covered by the two runners when they met each other. Express the answer in km.
  2. Find the length of the trail in km.
4 m
Level 2
The distance around a running track is 426 m. Joyous ran round the track 6 times. How far did she run? (Give the answer in kilometres and metres.)
2 m
Level 3
The figure shows a square that is cut out from a big triangle. The area of the triangle and that of the square are whole numbers. Both the height and the base of the triangle are equal. If the shaded area is 73 cm2, find
  1. The length of the square
  2. The base of the triangle
3 m
Level 2
Figure A is made up of 2 identical squares. Figure B has the same perimeter as Figure A. Find the length of one square in Figure A.
3 m
Level 3
A rectangular floor tile has a pattern formed by 3 identical small rectangles as shown. The length of the tile is 18 cm. What is the floor space we can cover with 50 such tiles?
3 m
Level 3
A rectangular floor tile has a pattern formed by 3 identical small rectangles as shown. The length of the tile is 18 cm. If we want to lay them side by side as shown to occupy a length of 324 cm, how many tiles do we need?
3 m
Level 3
The figure is made up of 3 identical rectangles. CD = 72 cm. Find the length of AD.
3 m
Level 3
Jake took part in a 25-km cycling race. There was a water refill station at half the distance of the race.
  1. Jake stopped at the water refill station to refill his water bottle. How many kilometres was he away from the starting point to the water refill station?
  2. After passing the water refill station, Jake cycled 710 of the remaining distance and stopped. How many metres was he away from the finishing point?
4 m
Level 3
The length of ribbon A and ribbon B is 30.55 m. The total length of ribbon B, C and D is 58.93 m. The length of ribbons C, D and E is 64.53 m. Ribbon E is twice the length of ribbon A. Find the length of ribbon A. Give the answer in metres.
4 m