name date
Siti is 17 years old and Julia is 5 years old. How old will Julia be when she is 3/5 as old as Siti?
answer
The number of girls is 3/7 the number of boys at a National Kids’ Run competition. There are 960 more boys than girls. How many children took part in the competition?
answer
Jeff is 12 years older than Leon now. 10 years ago, the total age of Jeff and Leon was 78 years. How old is Leon now?
answer
Melody baked some muffins. 2/7 of the muffins were blueberry muffins and the rest were chocolate muffins. There were 72 more chocolate muffins than blueberry muffins. How many muffins did she bake altogether?
answer
Tania had 156 stickers and Amelia had 114 stickers. After each of them gave away an equal number of stickers, Tania had 4 times as many stickers as Amelia. How many stickers did each of them give away?
answer
A bookshop had a total of 160 erasers and pencils. After 28 erasers and 24 pencils were sold, the number of erasers became thrice the number of pencils. How many pencils did the bookshop have at first?
answer
John spilled some paint on his report card, hiding his Mathematics and Science scores. English was 86, Chinese was 80, and the total of all four subjects was 342. He scored 12 fewer marks in Science than in Mathematics. How many marks did he score for Mathematics?
Subject | Score -------------+------- English | 86 Chinese | 80 Mathematics | ##### Science | ##### Total | 342
answer
Kate and Sam had the same number of books at first. Kate gave away 2/3 of her books while Sam gave away 1/6 of his books. The number of books that Kate gave away was 63 more than Sam. Find the number of books that each of them had at first.
answer
The mass of a container filled with 2 identical ping pong balls was 80 g. The mass of the same container filled with 3 identical marbles was 220 g. The mass of each marble was 3 times the mass of each ping pong ball. What was the mass of 1 ping pong ball?
answer
Mrs Sim wanted to buy 20 glass bowls but she was short of $8. She then bought 19 glass bowls and had $6 left. Each glass bowl cost the same. How much money did Mrs Sim have at first?
answer
Colin, Dylan and Eden shared some sweets. Colin took 1/6 of the sweets. Dylan took the remaining sweets and shared it equally with Eden. Eden ate 12 of his sweets and has 18 sweets left. How many sweets were there altogether?
answer
Yiping had 100 fewer stickers than Joanne. Joanne had 4 times as many stickers as Wendy. Wendy had 40 stickers. How many stickers did they have altogether?
answer
John bought 2 crates of oranges. Crate A contained 200 more oranges than Crate B. After he transferred 50 oranges from Crate B to Crate A, there were twice as many oranges in Crate A than in Crate B. How many oranges were there in Crate A at first?
answer
Uncle Lee had some pears in his shop. He sold 36 of them in the morning and threw away 5 bad ones. He sold 10 pears in the afternoon and packed half of the remaining pears into 10 bags. Each bag contained 7 pears. How many pears did he have at first?
answer
Mother bought 5 more cups than plates. Each cup cost $8 and each plate cost $3. She paid $183 altogether. How many cups did she buy?
answer
Sandy and Tracy had $600 altogether. Sandy gave 1/5 of her money to Tracy and then Tracy gave 1/4 of the money she then had to Sandy. In the end, both of them had the same amount of money. How much money did Sandy have at first?
answer
The total cost of 6 skirts and 3 blouses was $144. Three blouses cost as much as 2 skirts. Find the total cost of one skirt and one blouse.
answer
Ashley is 10 years old and her mother is 46 years old. In how many years’ time will Ashley’s mother be 4 times as old as Ashley?
answer
There were 163 ribbons in Box A and 115 ribbons in Box B. Some ribbons were moved from Box A to Box B. In the end, there were 26 more ribbons in Box A than Box B. How many ribbons were there in Box A in the end?
answer
Julia had some beads in a jar. 1/4 of the beads were red and the rest were green. After Julia put another 318 red beads into the jar, the fraction of green beads in the jar became 3/7. What was the total number of beads in the jar at first?
answer
David paid $7374 for 3 laptops and 2 headphones. Kumar paid $5002 more than David for 5 laptops and 4 headphones. What was the cost of 1 headphone?
answer
The total mass of a box and a watermelon was 7 kg 34 g. When some strawberries were added into the box, the total mass became 8600 g. The watermelon was 3 times as heavy as all the strawberries added. Find the mass of the box, in grams.
answer
A spider was climbing to the top of a garden wall, starting from the bottom. After climbing up 1/3 of the wall, it began to rain. During the rain the spider slipped down 30 cm and stayed there until the rain stopped. Then it climbed up the remaining 5/6 of the height of the wall to reach the top. What was the total height the spider had climbed before and after the rain, in cm?
answer
In a library, there were some story books at first. Betty, the librarian, added another 17 story books and removed 36 of them. Then, Betty received 3 times as many new story books as what were left on the shelves. She then arranged all the story books equally between 2 sections. Each section had 458 story books in the end. How many story books were in the library at first?
answer
Susan and Tina had the same number of beads at first. After Susan threw away 18 beads and Tina bought another 72 beads, Tina had 4 times as many beads as Susan. How many beads did Susan have at first?
(1) 48 beads (2) 54 beads (3) 70 beads (4) 90 beads
answer (1) (2) (3) (4)
At a bakery, the price of a cupcake was $2 and the price of a tart was $5. Mrs Lim paid $38 to buy a total of 13 cupcakes and tarts. How many more cupcakes than tarts did Mrs Lim buy?
answer
At first, Mary had $166 and Larry had $304. Each of them bought 5 similar plates, and each plate was the same price. After buying the plates, Larry had 4 times as much money as Mary had left. What was the price of one plate?
answer
At a bento shop in Tokyo, three friends ordered: Hana bought 4 bento sets and 2 bottles of tea for $35. Ken bought 2 bento sets, 3 mochi cakes and 1 bottle of tea for $35.50. Miki bought 2 bento sets, 1 mochi cake and 2 bottles of tea for $27.50. 2 mochi cakes cost the same as 3 bottles of tea. What is the cost of 1 bento set?
answer
Mary had 48 stalks of flowers in a basket. 1/3 of them were roses and the rest were lilies and daisies. There were 4 more lilies than daisies. How many daisies should Mary buy such that the number of daisies would be 1/2 of the total number of flowers in the basket?
answer
John divided the corridor of a school building into equal parts of length 4 m, and placed 2 potted plants in each part. For the same corridor, he divided it into equal parts of length 6 m and hung 5 lanterns in each part. If there were 24 more lanterns than potted plants, how long was the corridor?
Figure 1 |<-- 4 m -->| 2 potted plants in each part Figure 2 |<--- 6 m --->| 5 lanterns in each part
answer
Ben has twice as many marbles as Cara. If Ben gives Cara 6 marbles, they will have the same number. How many marbles does Ben have at first?
(A) 12 (B) 18 (C) 24 (D) 30 (E) 36
answer (A) (B) (C) (D) (E)
Mai has 3 times as many stickers as Linh. Altogether they have 24 stickers. How many stickers does Mai have?
(A) 6 (B) 8 (C) 12 (D) 18 (E) 21
answer (A) (B) (C) (D) (E)
Duc has 5 more sweets than Linh. Duc then gives Linh 2 sweets. How many more sweets does Duc have than Linh now?
(A) 1 (B) 2 (C) 3 (D) 5 (E) 7
answer (A) (B) (C) (D) (E)
Nam has twice as many stamps as Hoa. If Nam gives Hoa 4 stamps, they will have the same number. How many stamps does Nam have at first?
(A) 8 (B) 12 (C) 16 (D) 20 (E) 24
answer (A) (B) (C) (D) (E)
An has 3 times as many marbles as Bao. If An gives Bao 10 marbles, they will have the same number. How many marbles does An have at first?
(A) 15 (B) 20 (C) 24 (D) 30 (E) 40
answer (A) (B) (C) (D) (E)
Linh has 4 times as many beads as Mai. If Linh gives Mai 9 beads, they will have the same number. How many beads do the two girls have altogether?
(A) 6 (B) 15 (C) 24 (D) 30 (E) 36
answer (A) (B) (C) (D) (E)