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Level 2
A group of 50 girls and 20 boys took part in a Mathematics test. The average score of the girls was 50 points. While the average score of the boys was 64 points. What was the average score of all the students who participated in the test?
2 m
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Level 2
The average height of 3 children was 1.32 m. One of the children, whose height was 1.3 m, left the group. What was the average height of the remaining children?
2 m
Level 3
A fruit vendor ordered some fruits. 35% of the fruits he ordered were apples and the rest were oranges. Each apple cost $1.20 and each orange cost 50% more than each apple. The vendor paid a total of $636.
  1. Find the total cost of the apples.
  2. How many oranges did he order?
3 m
Level 2
A group of 5 pupils scores an average of 83 marks in a test. When a new pupil joins the group, their average score decreases to 79 marks. How many marks does the new pupil score?
2 m
Level 2
The average height of six students is 125 cm. If the average height of five students is 120 cm, find the height of the sixth pupil.
2 m
Level 3
Jolene and Katie shared some necklaces. Jolene's share was 45% of Katie's share. She then increased her share of the necklaces by taking 20% of Katie's share. Given that Jolene had 18 fewer necklaces than Katie in the end, how many necklaces did the girls have altogether?
3 m
Level 3
At first, Beaker A and Beaker B contained 0.6 ℓ and 1.6 ℓ of water respectively. Some water from Beaker B was poured into Beaker A with no water spilling over. In the end, there was as much water in Beaker A as in Beaker B. How much water was poured from Beaker B to Beaker A?
3 m
Level 3
The table shows the marks Michelle scored in her end of year examinations. Michelle scored an average of 75 marks for the 4 subjects. What is the greatest possible mark that she could have scored for Science?
2 m
Level 2
The ratio of Adam's money to Bryan's money is 4 : 3.
The ratio of Bryan's money to Chris' money is 2 : 1.
The total amount that they have is $510.
How much more money does Adam have than Chris?
3 m
Level 3
The figure is made up of 2 squares of different sizes. The area of the small square is 50% of the area of the big square. The overlapped shaded area is 20 cm2. The area of the unshaded small square is 25 the area of the unshaded big square. Find the area of the small square.
3 m
Level 3
In a school, the ratio of adults to the number of children is 12 : 7.
The ratio of the number of boys to the number of girls is 3 : 2.
There are 70 more boys than girls.
How many people are there in the school?
3 m
Level 3
The table shows Fabian scores in 3 of the 4 games that he played.
Fabian will get a prize if his average score for three of the four games is 25 or more. What is the lowest score Fabian must score in the 4th game in order to get a prize?
2 m
Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining of other expenses is 1 : 4.
  1. How much does Adam save?
  2. How much less does Adam spend on food than other expenses?
3 m
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Level 3
The table shows the marks that Andy scored in his Science, English and Chinese tests. Part of the table is covered by an ink blot. The full marks for each test was 100. The average score for his three tests was 76 marks. Find the highest possible marks that Andy scored in his Science test.
2 m
Level 2
Seth paid $24 for an equal number of shirts and vests. Each vest cost $4.50. Each shirt cost $3 more than each vest. How many shirts did she buy?
2 m
Level 3
Adam receives his allowance of $250.
The ratio of Adam's spending to Adam's saving is 2 : 3.
The ratio of Adam's spending on food to the remaining expenses is 1 : 4.
  1. What fraction of his allowance is spent on food?
  2. What fraction of his allowance is spent on the remaining expenses?
  3. How much did he spend on food?
3 m
Level 2
Brandon spent $74 on a table tennis bat and 6 ping pong balls. The table tennis bat cost $39.70 more than each ping pong ball. How much did he pay for the table tennis bat?
2 m
Level 3
Renee had $420 less than Tom. Tom spent 0.6 of his money and Renee spent 0.5 of her money. In the end, Tom and Renee had the same amount of money left. Find the amount of money Renee had at first.
3 m
Level 2
The ratio of the number of girls to the number of boys is 3 : 5.
Each girl is given 4 stickers.
Each boy is given 2 stickers.
The total number of stickers is 220.
  1. How many children are there?
  2. How many more boys than girls are there?
  3. How many more stickers are given to the girls than the boys?
3 m
Level 2
Betty paid $9 for 3 macarons and 5 pies. A pie cost thrice as much as a macaron.
  1. Find the cost of a macaron in cents.
  2. How much more did she pay for a pie than a macaron?
2 m