Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent 25 of her money and Charlie deposited 511 of his money into his savings account, Abigail had thrice as much money as Charlie.
  1. Find the amount of money Abigail received from her father.
  2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
5 m
Level 3
Figure A shows a rectangular container. It is 35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
  1. Find the capacity of the container in litres.
  2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
4 m
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
4 m
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
3 m
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
3 m
Level 3
Jeremy has a crate containing some red and green grapes. If he adds in 10 bunches of red grapes, 0.6 of the bunches of grapes in the carton will be green grapes. If he adds in 30 bunches of green grapes, 34 of the bunches of grapes in the carton will be green grapes. How many bunches of grapes are there in crate?
5 m
Level 3
John spent 25 of his salary. He saved 37 of it. He then gave 38 of what was left to his son and gave the remaining amount of $300 to his daughter. What was John's salary?
4 m
Level 3
Zoe spent $54 on some apples, oranges and grapefruits in the ratio of 1 : 5 : 3. The number of apples was 12 the number of oranges. The ratio of the number of grapefruits to the number of oranges was 3 : 2. The apples were sold at 2 for a dollar.
  1. How many fruits did she buy altogether?
  2. How much did each orange cost?
5 m
Level 3
John spent 25 of his salary. He saved 23 of the remainder. He then gave 34 of what was left to his son and gave the remaining amount of $100 to his daughter. What was John's salary?
4 m
Level 3
Ruth spent $84 on some staplers, markers and files. The ratio of the amount of money she spent on the staplers, markers and files was 5 : 8 : 1. The markers were sold at 10 for $4. The number of staplers she bought was 12 the number of markers. The number of files she bought was 35 the number of markers. Find the price of 1 stapler.
5 m
Level 3
A total of 846 white rulers and violet rulers are in a container. The ratio of white rulers to violet rulers was 1 : 2. Some pink rulers and yellow rulers were put into the container. For every 4 violet rulers that were already in the container, 14 yellow ones were added. Then the final number of white rulers and pink rulers was 12 the final number of violet rulers and yellow rulers. Find the total number of pink and yellow rulers.
5 m
Level 3
At a fun fair, there were 3 times as many males as females. 59 of the males were boys and the rest were men. 23 of the females were women and the rest were girls. Given that there were 104 more boys than girls, how many children were there altogether?
4 m
Level 3
12 of the pupils in a school were girls and the rest were boys. 25 of the girls and 23 of the boys took part in a school event. 364 pupils did not take part. How many more girls were needed to take part in the school event so that it would be equal to the same number of boys who took part in the event?
4 m
Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was 25 the total number of supporters from Thailand.
  1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
  2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?
5 m
Level 2
Mrs Flynn made 40 tarts. She gave away 35 of them. How many tarts did she give away?
4 m
Level 3
149 pupils went for a Physical Fitness Test and 25 of them achieved Bronze certificates. 25 of the girls and 13 of the boys achieved Bronze certificates. How many girls did not achieve Bronze certificates?
4 m
Level 3
Container A and B are identical containers with the same base area and height. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into Container B from Container A, the depth of water in Container B is 14 the depth of water in Container A. If the height of the container is 25 cm, what is the base area of Container B?
4 m
Level 3
There are 390 children in a tuckshop. 27 of the boys and 23 of the girls wear spectacles, there are 258 children in the tuckshop who do not wear spectacles. How many girls wear spectacles?
4 m
Level 2
Mrs Lim bought 35 hotdogs. She cooked 27 of them. How many hotdogs had she left?
4 m