Level 3
The average test score of a group of pupils was 57 marks. After 4 pupils who scored an average of 69 marks joined the group, the average score of all the pupils became 61 marks. How many pupils were there in the group at first?
Level 3
A drink stall had 66 small and big packets of green tea. The number of small packets is 29 of the number of big packets. After selling a few big packets of green tea, there are 14 as many small packets as big packets left. How many big packets of green tea were sold?
Level 3
The average test score of a group of students was 71 marks. After five students who scored an average of 79 marks left the group, the average score of the group became 69 marks. How many students were there at first?
Level 3
In the working, A, B, C, D, E and F are 2-digit numbers. If A is 20, B is the 4th multiple of A, C is the 3rd multiple of 11, D is the volume of a cube with length of 4 units, and F is the 4th multiple of 11, what is E?
Level 3
In the working, A, B, C, D, E and F are 2-digit numbers. If A is 20, B is the 4th multiple of A, C is the 3rd multiple of 11, D is the volume of a cube with length of 4 units, and F is the 4th multiple of 11, what is E?
Level 3
There was an equal number of tables and chairs in the morning. At noon, some tables were added and some chairs were removed, resulting in the number of tables being increased by 20% while the number of chairs decreased by 30%. At 7 p.m. the number of tables increased by 50%. If a total of 32 tables were added during the day, how many more tables than chairs were there in the end?
Level 3
In a class, 9 girls jumped an average of 1.37 m for their standing broad jump in their fitness test. The boys in the same class jumped an average of 1.65 m in the same test. The total average of the whole class was 1.56 m. How many boys were there?
Level 3
Wilfred saves 10% of his allowance. When his allowance was increased by 20%, his savings rose proportionately to $180. What was his original allowance?
Level 3
The average height of a group of boys was 143 cm. After 6 girls with a total of 948 cm joined the group, the average height of all the children increased to 146 cm.
Level 3
Wilfred saves 10% of his allowance. When his allowance was decreased by 20%, his savings decreased proportionately to $80. What was his original allowance?
Level 3
Lizzy bought some souvenirs for her friends at an average price of $12.50. If Lizzy decided to buy a pen which cost $16 for her father and a bag which cost $35 for her mother, the average price of the souvenirs would become $15.75. How many souvenirs did Lizzy buy for her friends?
Level 3
Jane gave 10% of her collection of pens to Colleen thereby increasing Colleen's collection by 25%. If Jane had 45 pens left, how many pens did Collen have at first?
Level 3
Mrs. Ben made 248 more white chocolate cookies than dark chocolate cookies. After she gave away 57 of the white chocolate cookies and 13 of the dark chocolate cookies, there were an equal number of white chocolate cookies and dark chocolate cookies left. How many white chocolate cookies did she give away?
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
Level 3
Ming Huat had 255 watermelons and 240 oranges at first. He used 35 of the watermelons and 34 of the oranges. He then bought some more oranges. In the end, 18 of the fruits he had left were watermelons. How many oranges did he buy?
Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent 14 of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.
What was the cost of 1 sandwich?
Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?
Level 3 A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
Given that the height of the tank is 45 cm, find the volume of water in the tank.
All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
Level 3
Minzy bought some pouches and bags for her friends. The price of each pouch was $2.40 while the price of each bag was $10.80. For every 4 bags bought, she was given one such pouch for free. After receiving the free pouches, the number of pouches was 13 of the number of bags bought. If Minzy paid a total of $1584, how much more did she pay for the bags than the pouches?
Level 3
Luke bought a refrigerator and a laptop. The original price of the refrigerator was $3200 and the original price of the laptop was half the original price of the refrigerator. Luke was given a 25% discount on the laptop. How much did Luke pay altogether?
