Level 3
A stationery booth sells markers in packs of 4 and 5. At first, there were 4 times as many packs of 4 as packs of 5. After selling half of the packs of 4 and some packs of 5, Mr Zhang packs 15 additional packs of 5. How many packs of 4 are sold if there are 6 times as many packs of 4 as packs of 5 and there is a total of 348 unsold markers?
5 m
Level 3
Vanessa ordered a plate of noodles and shared it with Lee. She ate 310 of it. Lee ate twice as much noodles as she did. What fraction of the platter of noodles was left?
4 m
Level 3
The figure, not drawn to scale, is made up of an isosceles triangle and a rhombus. ∠c = ∠b, ∠a is twice ∠d, ∠b is twice ∠e and ∠c is less than ∠e by 51°.
  1. Find ∠c.
  2. Find the difference between ∠a and ∠c.
4 m
Level 2
Rosie made 90 kaya buns and vanilla buns altogether. She made 9 times as many kaya buns as vanilla buns. How many more kaya buns than vanilla buns did she make?
2 m
Level 3
Frank has 234 times as many marbles as Louie. Louie has 48 marbles. How many marbles do they have altogether?
4 m
Level 3
In the figure, not drawn to scale, ABC, BFG, BDE, ADF are straight lines. Given that ∠CBF is twice the size of ∠FBD. Find ∠BAF.
4 m
Level 3
Erika spent 38 of her money on 6 notebooks and 10 post-it pads. The cost of one post-it pad was thrice the cost of one notebook. She bought some more post-it pads with 14 of her remaining money. How many post-it pads did Erika buy altogether?
4 m
Level 3
In the figure, not drawn to scale. ABCD is a square. CDE is an equilateral triangle and AC is a straight line. Find
  1. One-third of ∠AFE
  2. Twice of ∠ECF
4 m
Level 3
A stall was selling flowers. 13 of the earnings are from the sale of 9 lavenders and 17 sunflowers. Of the rest of the earnings, 34 are from the sale of lavenders and 14 are from the sale of sunflowers. Each sunflower costs thrice as much as each lavender. How many flowers were sold?
4 m
Level 3
The number of silver crayons is twice the number of blue crayons. The number of blue crayons is 14 more than the number of gold crayons. The total number of crayons is 138. The cost of each silver crayon is $3.80 and the cost of each gold crayon is $1.50. The total cost of all the crayons is $374.20.
  1. Find the number of gold crayons.
  2. Find the cost of a blue crayon.
5 m
Level 3
There are twice as many children as adults in a concert, and there are thrice as many boys as girls. If there are 3000 people in the concert,
  1. how many adults are there?
  2. how many children are there?
  3. how many boys are there?
3 m
Level 3
A total of 460 children and adults went for a learning journey at the park. There were 80 more children than adults at the park. Given that the number of boys was 5 times the number of girls at the park, how many boys were at the park?
3 m
Level 3
Luis, Sam and Andy went shopping. Luis and Sam spent a total of $341. Luis and Andy spent a total of $483. Andy spent 3 times as much money as Sam. How much money did Luis spend?
4 m
Level 3
Brandon bought 54 more erasers than Liam and Liam bought 15 erasers more than Raeann. The total number of erasers Brandon and Liam bought was 4 times the number of erasers Raeann bought.
  1. How many erasers does Brandon need to give Liam so that they have the same number of erasers?
  2. How many erasers did all three of them have altogether?
4 m
Level 3
There are three times as many chickens as sheep in a farm. There are 390 legs altogether. Given that a chicken has 2 legs and a sheep has 4 legs, how many chickens are there?
4 m
Level 3
In the figure, ABCD is a parallelogram with length AD twice the length of AB. ADE is an equilateral triangle. F is a point on AE such that AF = FE. ∠BCD is 104°. Find ∠FBC .
4 m
Level 3
Gabby had five times as many pencils as staplers. After giving away 20 pencils and selling 47 pencils, she found out that she had four times as many pencils as staplers left.
  1. How many pencils did Gabby have at first?
  2. How many pencils and staplers did Gabby have altogether at first?
4 m
Level 3
The average weekly number of soft toys produced by Factory X and Y is 3486. The average weekly number of soft toys produced by Factory X and Z is 6586. If Factory Y produced 27 as many soft toys as Factory Z each week, how many soft toys does Factory X produce weekly?
5 m
Level 3
The total mass of a kitten, a mouse and a puppy is 11 kg. The mouse is 0.4 kg heavier than the kitten. The puppy is 4 times as heavy as the mouse. Find the mass of the puppy.
4 m
Level 3
At first, there were 410 more men than women at an exhibition. At lunch time, a total of 250 men and women left the exhibition. There were as many men as women who left the exhibition. In the end, there were 3 times as many men as women who remained behind. How many men were at the exhibition at first?
4 m