Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not shaded?
Level 3
The figure is not drawn to scale. Three pentagons A, B and C are arranged as shown in the figure. The area of Pentagon A is 35 the area of Pentagon B. The area of Pentagon B is 35 the area of Pentagon C.
Find the ratio of the area of Pentagon A to the area of Pentagon C.
23 of Pentagon A is shaded. What fraction of the whole figure is not 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
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
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.
Level 3
Four children made the following statements.
Winnie : The average of Yoko's mass and my mass is 39 kg.
Xtra : I am the heaviest.
Yoko : Zane is 2 kg lighter than Xtra.
Zane : Our masses are in consecutive order (In running sequence).
What is the total mass of Winnie, Xtra and Yoko ?
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
Level 3 PSLE
ABCD is a square. The shaded parts X and Y are two squares with different areas. All the corners of squares X and Y lie either on the sides of square ABCD or on the line AC. If the area of the square is 360 cm2. Find the shaded area.
Level 3 PSLE
At first, Jack had some money. He spent 14 of it on a T-shirt and 25 of the remainder on a pair of shoes. After that, his parents gave him $240. The ratio of the total amount of money he had at the end to the amount of money he had at first was 5 : 4. How much money did Jack have at first?
Level 3
After Mr Lim had stacked up 10 chairs in the Conference Room after a meeting, he noticed 3 things. Firstly, each of the chairs was stacked the same height above the other. Secondly, the foot of the 4th chair was 37.5 cm above that of the first. Thirdly, the chairs reached a height of 205.2 cm. What is the height of each chair?
Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
Level 3
Joe took 12 min to cycle from his home to a park for his morning exercise. After the exercise, he took 60 min to walk the same route home. The difference between his cycling and walking speed was 40 km/h. How far was Joe's home from the park?
