Level 3
Three planks of different lengths, X,Y and Z are nailed together to make a frame as shown. Plank X has 3 holes which divide it into 4 equal parts. Plank Y has 4 holes which divide it into 5 equal parts and Plank Z has 5 holes which divide it into 6 equal parts. In the frame, the holes A, B and C are three corners of an equilateral triangle. Plank X is 120 cm long. What is the total length of Plank X, Plank Y and Plank Z?
3 m
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 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.
  1. How much more distance had Bella covered than Brent when they met on their way?
  2. How far apart were Hotel A and Hotel B? Express the answer in mixed number.
4 m
Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.
  1. Find the area of Figure 5.
  2. How many squares were used to make a figure with an area of 180.5 cm2?
5 m
Level 3
May started jogging from home to park at a speed of 300m/min at 6 a.m. Her brother started jogging from home later. They were beside each other at 6.30 a.m. and her brother reached park at 7 a.m. while May was still 1800 m away. If both of them travelled at a constant speed throughout the journey, what time did her brother leave home?
4 m