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
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold 13 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?
5 m
Level 3
The total number of fish fingers produced by Machine B and Machine C was 332. The total number of fish fingers produced by Machine B and Machine D was 327. The total number of fish fingers produced by Machine C and Machine D was 367. Find the average number of fish fingers produced by 3 machines.
3 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
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
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
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
Benita's salary is 20% less than Amanda's salary and 40% less than Cecilia's salary. If Amanda's salary is $500 less than that of Cecilia's salary,
  1. Find Benita's salary.
  2. Given that Benita received a 20% pay cut, find Benita's new 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