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.
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)
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)
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.
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.
Level 3 PSLE The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
Find the length of AE in terms of w. Give your answer in the simplest form.
Find the total area of the figure when w = 16.
Level 3 PSLE The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
Find the length of AE in terms of w. Give your answer in the simplest form.
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
Level 3
The figure is made up of 3 different triangles X, Y and Z. 20% of triangle X and 40% of triangle Z is shaded. The shaded area of X is the same as the shaded area of Z. What fraction of the figure is shaded if 40% of Triangle Y is shaded?
Level 3
Elsa and Jason started biking at 10.45 a.m. along an 8-km trail. Elsa took 24 minutes to reach the finishing point. Jason's speed was 15 km/h slower than Elsa's. At what time did Jason reach the finishing point?
Level 3
Cain and Lea started driving at 9.30 a.m. from City A and headed towards City B which was 312 km away. Cain took 4 hours to complete his journey. Lea's average speed was 2 km/h faster than Cain's. At what time did Lea arrive at City B?
Level 3 A car is travelling from Town A to Town B. At 60 km/h, it will arrive four hours later than the scheduled time. At 70 km/h, it will arrive at two hours later than the scheduled time. What is the distance between Town A and Town B?
Level 3
Wilson started travelling at 10 a.m. at a speed of 75 km/h towards a town. Timmy started travelling towards the town from the same place 3 hours later. When Wilson reached the town at 6 p.m., Timmy had another 180 km to travel. What was Timmy's average speed?
Level 3
Loisa left the house at 11.30 a.m. and drove towards her office. 1 hour later, her brother left house and drove towards the same office at 76 km/h. When the brother reached the office at 3.30 p.m., Loisa had another 3 km to travel. What was Loisa's average speed? Express the answer in mixed number.
Level 3
At 8 a.m., Lance left Hotel A in his car and travelled towards Hotel B at 90 km/h. At the same time, Nick left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Nick reached Hotel C at 10:30 a.m., Lance was 15 km away from Hotel B.
What was the distance from Hotel A to Hotel B?
If the distance between Hotel B and Hotel C was 440 km, what was Nick's average speed?
Level 3
At 8 a.m., Lance left Hotel A in his car and travelled towards Hotel B at 90 km/h. At the same time, Nick left Hotel A in his car and travelled in the opposite direction towards Hotel C. When Nick reached Hotel C at 10:30 a.m., Lance was 15 km away from Hotel B.
What was the distance from Hotel A to Hotel B?
If the distance between Hotel B and Hotel C was 440 km, what was Nick's average speed?
Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
Level 3
Lani was travelling from Point X to Point Y at a constant speed of 80 km/h. After 2 hours, she passed a bus coming from the opposite direction. Lani travelled another 160 km to reach Point Y. At this point, the bus was still 50 km from Point X. What is the average speed of the bus?
Level 3
Mrs Tan left home at 9 a.m. and drove towards the city. 1 13 hour later, Mrs Tan left the house and drove at an average speed of 100 km/h towards the city. When Mrs Tan reached his destination at 1 p.m., Mrs Tan was 20 km away from the city. Find Mrs Tan's average speed in km/h. Express the answer in mixed number.
Level 3
At 9.30 a.m., a bus started travelling at an average speed of 60 km/h. At 11:30 a.m., a van started from the same place travelling on the same road. If the van took 3 hours to catch up with the bus, find the speed of the van.
Level 3
Steven and Ivan started running a 10-km cross-country race together at a speed of 6 km/h and 12 km/h respectively. At the halfway mark, Ivan took a rest until Steven caught up with him. How long did Ivan rest? Express the answer in min.
