Level
Box A and Box B are identical. 78 of Box A and 35 of Box B are filled with sand. The mass of Box B with its contents is 79 the mass of Box A with its contents. The total mass of the two boxes with their contents is 528 kg. Find the mass of an empty box.
4 m
Level 3
The total number of beads in Basket W, Basket X and Basket Y was 273. 29 of the beads from Basket W and 21 beads from Basket X were removed. More beads were then added into Basket Y until the number of beads in it was doubled. The ratio of the number of beads in Basket W to Basket X to Basket Y became 7 : 2 : 2.
  1. How many more beads were there in Basket W than Basket X at first?
  2. Find the total number of beads in Basket W and Basket Y in the end.
5 m
Level 3
In a thrift shop, the number of beads was 23 of the total number of beads and erasers together. The shopkeeper sold the beads and erasers in sets of 1 bead and 4 erasers. After selling all the erasers, he still had 133 beads left. How many erasers were in the thrift shop at first?
4 m
Level 3
Zoe, Fanny, Eric and Olivia shared some pens. Zoe and Fanny took 15 of the total number of pens while Eric and Olivia took the rest. Fanny had four times as many pens as Zoe and Olivia had 176 pens. Given that Eric had four times as many pens as Fanny, how many pens were there altogether?
4 m
Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent 23 of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?
5 m
Level 3
There were 229 lemons and soursops in a stall at first. After 15 of the lemons and 12 of the soursops were sold, there were a total of 182 lemons and soursops now. How many lemons are there now?
4 m
Level 3
At a carnival, the children were put into two groups. 45 of Group F were boys and 23 of Group G were girls. Group G had twice as many children as Group F. There were 18 fewer boys in Group F than Group G.
  1. What fraction of the total number of children at the carnival were boys? Give your answer in the simplest form.
  2. What was the total number of children at the carnival?
4 m
Level 3
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded 56 of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.
  1. How many fruits were there on his vehicle after visiting Stall Y?
  2. How many avocados were delivered to Stall X?
5 m
Level 3
Asher has a total of 94 of blue and yellow lollipops. 16 of the blue lollipops and half of the yellow lollipops are new. How many of his yellow lollipops are new if he has a total of 27 new lollipops?
4 m
Level 3
Glen, Ken, Jenson and Justin shared 105 stickers. Jenson received 15 of the stickers. Glen received 16 of the total amount of stickers received by Ken and Justin. Justin received four times as much stickers as Ken.
  1. How many stickers did Glen receive?
  2. How many more stickers did Jenson receive than Ken?
4 m