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
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 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
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?