Level 2
In the figure, ∠BAE = 45° and ∠BED = 130°. Find ∠CBE.
2 m
Level 3
Ryan drove at an average speed of 70 km/h for the first 2 hours of the journey. He then increased his average speed by 15 km/h and drove for another 3 hours until he reached his town. Find his average speed for the whole journey.
3 m
Level 2
Find the unknown angles.
  1. angle x
  2. angle y
2 m
Level 3
Jesse left home at 6.15 a.m. and drove towards the mountain which was 802 km away. For the first 210 km, she was travelling at 70 km/h. Then she increased her speed by 4 km/h and completed the remaining journey.
  1. How long did she take for her whole journey?
  2. At what time did she reach the mountain?
3 m
Level 2
The figure shows a right-angled triangle and an isosceles triangle. Find ∠p.
2 m
Level 3
Jimmy drove at an average speed of 72 km/h for 4 hours. He then reduced his average speed by 18 km/h and continued for another 5 hours before he reached his destination. Find his average speed for the whole journey.
3 m
Level 3
The figure is made up of a circle, a triangle and a square of sides 8 cm. The radius of the circle is 7 cm. The ratio of the area of the circle to the shaded area of the circle is 7 : 3. The ratio of the area of the square to the area of the triangle is 1 : 4. Given that 14 of the square is shaded, what is the total area of the unshaded figure? (Take π = 227)
4 m
Level 3
Ben drove a car at an average speed of 84 km/h for 45 minutes. He then reduced his average speed by 6 km/h and drove another 30 min before he reached his destination. Find the total distance covered by Ben.
3 m
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
  1. Find the perimeter of triangle ADE in terms of w.
  2. The perimeter of figure ABCDE is 44 cm. What is the value of w?
3 m
Level 3
A coach driver drove the first 4 h of a journey at an average speed 64 km/h. Driving at an average speed of 90 km/h, he then took another 5 h to complete his remaining journey. Find his average speed for the whole journey. Give the answer in mixed number.
3 m