Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
Level 3
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting.
If Kenny and Bill paint the same house, they take 8 days to finish painting.
If Henry and Mark paint the same house, they take 12 days to finish painting.
How many days do Kenny and Mark take to paint the house if they work together?
Level 3
Lina, Ron, Evelyn and Henry share the same hobby of collecting stamps. The average number of stamps collected by the 4 friends is 25. Ron collected 8 more stamps than Evelyn but 15 fewer stamps than Lina. Henry collected 3 stamps fewer than Evelyn. Find the average number of stamps collected by Ron, Evelyn and Henry. Round off the answer to the nearest whole number.
Level 3
In a shop that sells t-shirts, 250 blue t-shirts were sold weekly and 25% of the remaining t-shirts that were sold were red. Of the leftover, 40% of the t-shirts sold were yellow t-shirts and the rest were black t-shirts. Given that the number of black t-shirts sold was 20% of the total number of t-shirts sold, how many red and blue t-shirts were sold altogether?
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
Level 3
A puppy is 5220 g heavier than a cat. The total mass of the 2 animals is 11 kg. What is the mass of the puppy?
(Give the answer in kilograms and grams.)
Level 3
The total weight of 5 cartons and 7 crates of apples is 130 kg. Each crate of apples weighs thrice as heavy as a carton of apples. How much does each carton of apples weigh?
Level 3
Edward spent $340 on shopping, $650 on transport and gave 60% of the remainder to his wife. He then saved the rest of the money, which amounted to 10% of his original sum of money. How much did he give his wife?
