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?
3 m
Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have 13 as many pens as Anna. How many pens does Yvonne have at first?
4 m
Level 3
On a shelf, there were 28 T-shirts and hoodies. Mr Lin spilt hot chocolate on the shelf and stained 50% of the hoodies and 20% of the T-shirts. If 20 T-shirts and hoodies were still clean, how many stained hoodies were there?
4 m
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?
4 m
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?
3 m
Level 3
25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?
4 m
Level 3
Half an hour ago, 50% of the people at a circus were females. 42 females and 2 males left afterwards. The remaining people were then told to form groups of 5. In each group, there were 3 males. How many people were there at the circus in the end?
4 m
TRY FOR FREE
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.
  1. What was the average height of the girls?
  2. How many boys were there in the group?
3 m
Level 3
A tank contained 3.7 ℓ more water than a pail. After some water was poured from the tank to the pail, both the tank and the pail had 6 ℓ of water each. How much water was there in the pail at first?
3 m
Level 3
Ethan had 40% as many beads as Ben. After Ethan and Ben bought another 50 beads and 15 beads respectively, Ethan had 50% more beads than Ben. How many beads did Ethan have at first?
4 m
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?
3 m
Level 3
Ian had 140 more stickers than Ethan. Ian gave 25% of his stickers to Ethan. Ethan in return gave 80% of his stickers to Ian. In the end, Ian had 282 more stickers than Ethan. How many stickers did Ian have at first?
4 m
Level 3
If Yvonne gives Oscar $27, the amount of money she has will be 25% of his. If Oscar gives Yvonne $12, he will have the same amount of money as her. How much money did each of them have?
(a) Oscar
(b) Yvonne
4 m
Level 3
Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave 50% of his muffins to Tim. In the end, Rael had 448 less muffins than Tim. How many muffins did Tim have at first?
4 m
Level 3
Madam Lin packed some stickers for a party. She packed 34 of the stickers into 6 blue bags and the rest into 26 violet bags. There were 90 stickers altogether in 1 blue and 2 violet bags. How many stickers did Madam Lin have at first?
4 m
Level 3
The total volume of water in Watering Can A, Watering Can B and Watering Can C was 205 mℓ. I poured out half the volume of water from Watering Can A, doubled the amount of water in Watering Can B and added 55 mℓ of water into Watering Can C. The ratio of the volume of water in Watering Can A to Watering Can B to Watering Can C is now 5 : 4 : 8. Find the total volume of water in the three watering cans now.
4 m
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?
3 m
Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave 13 of her beads to Gillian. In return, Gillian gave 15 of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?
4 m
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?
3 m
Level 3
Hazel had $300 more than Wendy. Hazel gave 35 of her money to Wendy. Wendy then gave 25% of her money to Hazel. In the end, Wendy had $186 more than Hazel. How much did Hazel have at first?
4 m