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
Level 3
At the end of May, Xandra had thrice as many 20-cent coins as 50-cent coins in her piggy bank. She took out 70 20-cent coins and exchanged it for 50-cent coins of the same value. In June, she saved another 38 20-cent coins and some 50-cent coins. She then had four times as many 50-cent coins in the end. She had 500 coins in the end. How many 50-cent coins did she save in June?
4 m
Level 3
Asher and Pierre had 62 tarts altogether. After Asher ate 16 of his tarts and Pierre ate 10 tarts, the number of tarts Pierre had left was four times the number of tarts Asher had left. How many more tarts did Pierre have than Asher at first?
4 m
Level 3
Xavier and Mark received a total of $468. After Xavier spent 56 of his money and Mark spent 34 of his money, Mark had 3 times as much money as Xavier. How much money did Mark have at first?
4 m
Level 3
There were 2 times as many vests in Stall K as in Stall L. Stall K moved 112 vests to Stall L and sold 18 more. Stall L bought some more vests and had 5 times as many vests as Stall K. There were 50 vests in Stall K in the end. How many game consoles did Stall L sell?
4 m
Level 3
Ethan and Tom had $1672 altogether. After Ethan spent 16 of his money and Tom spent 34 of his money, Ethan was left with four times as much money as Tom. How much money did Tom have at first?
4 m
Level 3
At the hospital, Floor A and Floor B had an equal number of beds at first. If 6 beds were removed from Floor B and 6 times as many beds were removed from Floor A as Floor B, the number of beds in Floor B would be 4 times as many as in Floor A. Find the number of beds on each floor.
4 m
Level 3
On Thursday, Cindy, Diana, Kathy and Nicole spent a total of $113. On Friday, Cindy spent twice of what she spent on Thursday, Diana spent the same as what she spent on Thursday, Kathy spent $6 less than what she spent on Thursday, and Nicole spent $3 more than what she spent on Thursday. All of them spent an equal amount on Friday. How much did Cindy and Nicole spend altogether on Thursday?
4 m
Level 3
A fund-raising project lasted 2 weeks. In the first week, Team X raised 4 times as much money as Team Y. ln the second week, Team X raised another $240 while Team Y raised another $160. The total amount raised by Team X was thrice as much money as the total amount raised by Team Y. What was the total amount of money raised by the two teams?
4 m
Level 3
Cole, Oliver and Simon had 270 buttons. After Cole used 8 buttons and Oliver used 37 of her buttons, Cole had four times as many buttons left as Oliver. Simon bought another 17 buttons, he had twice the number of buttons Oliver had left. How many buttons did Simon have at first?
4 m
Level 3
Samantha had twice as many pens as notebooks at first. She removed 4 pens and 3 notebooks each time. In the end, there were 18 pens and 1 notebook left. How many pens and notebooks did Samantha have at first?
4 m