英语奥数题

1.

Ali spent of his savings on a pen. He spent of the remainder on a

book. If he had $38 left, how much did he have at the beginning?

2.

There are 270 members in a club. are new members. of the new

members are children. How many new members are children?

3.

Shufen has 372 beads. are blue and the rest are red. How many more red beads are there than blue beads?

4.

of Limin's money can buy 40 books. How many books can she buy with of her money?

5.

Mary bought a leather bag with of her money. She spent the remainder on 14 pairs of socks which costed $6 each pair. How much was the leather bag?

6.

Nigel has $145. He donated to charity. Of the remainder, he gave to his sister. How much did he give to his sister?

7.

There are 567 students in a school. are boys and the rest are girls. There are 9 times as many girls as there are teachers. How many teachers are there?

8.Nigel and Kimberly have $820 altogether. Nigel has $60 more than

Kimberly. What fraction is Nigel's money of the total?

9.

of the books in the library are softback and the rest are hardback. There are 2849 more softback books than hardback books. What is the total

number of books in the library?

10.

In a country, of the population are Chinese. of the remainder are

Malays and the rest are Indians. If there are 60,000 Indians, how many Chinese are there?

11.A bag of balloons was shared among Jack, Louis and Nick in the ratio

3:5:6.

(a) Express Jack's share as a fraction of Louis' share.

(b) What is Nick's share as a fraction of the total?

12.The ratio of boys to girls in a school is 4:5. If there are 276 boys, find the

total number of students in the school?

13.The ratio of men to women in a food court is 4:3. The ratio of women to

children is 5:2. If there are 24 children, how many men are there?

14.The ratio of Nigel's savings to Kimberly's is 9:11. If Kimberly has $132, how

much do they have altogether?

15.The ratio of the sides of a triangle is 2:4:7. If the perimeter of the triangle is

66.3cm, what is the length of the longest side?

16.A packet of instant coffee contains coffee powder, sugar and creamer in

the ratio 1:2:4. If the packet weighs 21.7g, how much sugar is there?

17.The ratio of boys to girls in a class is 5:6 and there are 3 more girls than

boys. If another 5 boys and 4 girls join the class, what is the new ratio of boys to girls?

18.The area of a rectangle is 54 cm square. The ratio of the sides is 2:3. Find

the perimeter of the rectangle.

19.

Limin has as many beads as Shufen. If Limin gives of her beads to Shufen, what will be the ratio of Limin's beads to Shufen's?

20.

The ratio of Yoko's money to Mary's is 9:5. After spending of her money, Yoko had $35 more than Mary. How much money did Mary have?

21.The ratio of apples to oranges in a lorry was 5:2. There were 248 oranges.

How many apples were there?

22.During a football match, the ratio of men to women was 3:1. The ratio of

men to children was 5:1. If there were 2490 children, how many people were at the football match?

23.A bundle of pens was shared among Mary, Limin and Yanyan in the ratio

4:2:3. If there were 54 pens, how many pens did Mary get?

24.The ratio of the sides of a right-angled triangle is 3:4:5. If the shortest side

is 6cm, find the area of the triangle.

25.The ratio of Nigel's toys to Calvin's is 4:5. If Calvin has 6 more toys, how

many toys do they have altogether?

26.A fruit punch contained syrup, beer and water in the ratio 3:1:8. If 3 cups

more of syrup than beer were added, how many cups of fruit punch were made?

27.The ratio of girls to boys in a class is 2:5. There are 8 girls. How many new

girls must join the class so that there will be equal number of boys and

girls?

28.

Andrew had as much money as Jeremy. He gave $24 to Jeremy and the new ratio of Andrew's money to Jeremy's was 1:2. How much money did Andrew have at the beginning?

29.The area of a rectangle is 24 cm² and the perimeter is 20cm. What is the

ratio of the length to the width?

30.

The ratio of Michael's money to John's was 3:4. After spending of his money, Michael had $14 less than John. Find

(a) The new ratio of Michael's money to John's.

(b) The amount of money Michael has left.

31.38% of a pole is painted red, 26% is painted yellow and the rest is painted