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
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
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
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
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