The square grid shows line AB. It is one side of a triangle ABC with ∠ACB = 90°. Identify point C in the grid square.
1 m
Level 2 PSLE
In the figure, BCE is an equilateral triangle, ABCD is a trapezium with AD parallel to BC. ∠DAB = 66°. Find ∠ABE.
1 m
Level 2 PSLE
In the figure, ABE is an equilateral triangle and BCDE is a rhombus ∠DAB = 38°. Find ∠CBE.
1 m
Level 2 PSLE
The square ABCD is made up of 4 smaller squares.
  1. What is the ratio of the area of the shaded part to the area of the unshaded part?
  2. If the length of the square ABCD is 4 cm, what is the area of the shaded part?
2 m
Level 2
A driver drives a distance of 8 km in 10 minutes.
  1. What was his speed in km/h?
  2. Driving at this speed, how long will it take him to cover 80 km? Answer in mixed number.
2 m
Level 2
A train left for City Z at 07 00. The train stopped over at City S for half an hour before continuing its journey to City Z. It reached City Z at 13 45. If the average speed of the train was 350 km/h, what was the total distance covered by the train?
2 m
Level 1 PSLE
Raymond started walking from home at 7.50 a.m. to the market, which was 1200 m away. He walked at 75 m/min. At what time did he reach the market?
2 m
Level 2
A train of length 100 m passes a bridge that is 5.5 km long. It is travelling at an average speed of 80 km/h. How long does it take the train to completely pass through the bridge? Express the answer as decimals in h.
2 m
Level 1
What fraction of the figure is shaded?
2 m
Level 2 PSLE
Bryan cycles at a constant speed from home to work. The graph shows the distance Bryan cycles for the first 15 minutes.
The distance between Bryan's home and work is 7.5 km.
  1. How many minutes does Bryan take to cycle from home to work?
  2. What is Bryan's cycling speed in km/h?
2 m
Level 2
The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.
2 m
Level 2
John used 3 rubber bands to form the sides of triangle ABC where AB = 8 cm, BC = x cm and AC = 2x cm. Bob stretches two of the elastic bands and enlarges triangle ABC. The sides BC and AC are stretched to 2 times its original length. What is the perimeter of the stretched triangle ABC?
2 m
Level 2
A subway train travelled 900 km from Station A to Station B at an average speed of 150 km/h. It then moved on to Station C which is 500 km away at an average speed of 120 km/h. Find the time taken for the whole journey. Express the answer as a mixed fraction in h.
2 m
Level 2
A train travelled 900 km from City A to City B at an average speed of 150 km/h. It then travelled 500 km to City C at an average speed of 120 km/h. Find the time taken for the whole journey. Express the answer in h and min.
2 m
Level 2
A race car travelled 25 of its journey at an average speed of 64 km/h. Find its average speed for the remaining 480 km if its average speed for the whole journey was 80 km/h.
2 m
Level 2
An airplane flew 9000 km from Country X to Country Y at a speed of 450 km/h. It then covered 4900 km from Country Y to Country Z at a speed of 350 km/h. Find the time taken for the whole journey.
2 m
Level 2
A lorry and a bus were travelling from town A to town B which were 720 km apart. The bus set off 2 12 h later than the lorry but arrived 1 12 h earlier. If the average speed of the lorry was 60 km/h, find the average speed of the bus.
2 m
Level 1 PSLE
In the figure, ABC and BCD are right-angled triangles. To find the area of Triangle ABD, identify,
(a) its height
(b) its base.
2 m
Level 2
Vicky and Sue started driving from the same building but in opposite directions along a straight road. After driving for 2 hours, they were 260 km apart. Vicky's average speed was 60 km/h. What was Sue's average speed?
2 m
Level 1 PSLE
Find the area of the shaded triangle.
2 m