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G8 AMC Practice 2

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

In a factory, a machine can fill 8 jars in 3 minutes. How many minutes does it need to fill 24 jars?

a)

6

b)

7

c)

8

d)

9

2.

Dan spent 2/3 of his money at the first store and spent 1/7 of the money at the second store. What fraction of the total money did he spend?

a)

2/23

b)

11/21

c)

17/21

d)

3/10

3.

On Monday, Newton's Bakery discounted the price of pies 20%. On Tuesday, it discounted the pies an additional 20%. What is the combined percent discount?

a)

40%

b)

64%

c)

30%

d)

36%

4.

The Zoo has a number of chickens and a number of rabbits. On one visit to the zoo, Mary counted 343 heads and 1024 legs. How many of the animals that Mary counted were rabbits?

a)

61

b)

122

c)

169

d)

150

5.

The mean, median, and unique mode of the positive integers 1,5, 6, 7, 7, 9, x are all equal. What is the value of x?

a)

7

b)

6

c)

11

d)

14

6.

 Find the unit digit of 3201322015Find\ the\ unit\ digit\ of\ 3^{2013}-2^{2015}  

a)

5

b)

3

c)

1

d)

7

7.

In a jar of red, green, and blue marbles, all but 16 are red marbles, all but 28 are green, and all but 34 are blue. How many marbles are in the jar?

a)

26

b)

28

c)

39

d)

40

8.

An equilateral triangle and a regular hexagon have equal areas. If the perimeter of the hexagon is 12, what is the perimeter of the equilateral triangle?

a)

6

b)

5

c)

666\sqrt{6}

d)

636\sqrt{3}

9.

A square with side of 7 is inscribed in a square with sie length 9, with one vertex of the smaller square on each side of the larger square. A vertex of the smaller square divides a side of the larger square into two segments, one of length x and the other of length y. Find the value of xy.

a)

15

b)

25

c)

16

d)

12

10.

James bought some pencils at the school bookstore and paid $2.47. Charles bought some of the same pencils and paid $3.23. How many more pencils did Charles buy than James?

a)

2

b)

3

c)

4

d)

5