Free Printable Mid year revision

1.

-20 + (-11)

a)

31

b)

9

c)

-9

d)

-31

2.

-9 + 9

a)

18

b)

-18

c)

0

d)

81

3.

Different signs, means we must find the ________________

a)

sum

b)

difference

c)

product

d)

quotient

4.

Difference means to :

a)

add

b)

multiply

c)

divide

d)

subtract

5.

l -6 + 13 l

a)

19

b)

7

c)

-7

d)

8

6.

l -26 + -10 l

a)

-16

b)

-36

c)

16

d)

36

7.

Which integer is the opposite of 12?

a)

21

b)

12

c)

-12

8.

Find the sum:
10 + (-5) + 20 =

a)

25

b)

-25

c)

-35

d)

35

9.

Find the difference:
-6 - 5 =

a)

-1

b)

-11

c)

1

d)

11

10.

90 - (-100)

a)

- 190

b)

190

c)

1900

d)

19

11.

What is the opposite of -10?

a)

0

b)

10

c)

$\frac{1}{10}$

d)

$\frac{10}{1}$

12.

A submarine was 1800 ft below sea level. It dove another 1500 feet deeper. Which integer represents its location?

a)

-300

b)

-1300

c)

-3300

d)

300

13.

What is the distance from -15 to 15?

a)

0

b)

30

c)

-0

d)

15

14.

What is the distance between 4 and 10 on a number line?

a)

6

b)

-6

c)

14

d)

-14

15.

Is the following true or false?
The distance between -5 and 5 is 0.

a)

True

b)

False

16.

-2x(-6)=

a)

12

b)

-9

c)

9

d)

-12

17.

(4) X(-9)=

a)

36

b)

-10

c)

-36

d)

10

18.

The temperature dropped 3 degrees every hour for six hours. How much did the temperature drop in all?

a)

-18

b)

9

c)

18

d)

-9

19.

-32 ÷ (-4)

a)

6

b)

-8

c)

8

d)

-6

20.

0 ÷ (-6)

a)

-6

b)

0

c)

6

d)

-0

21.

$\frac{-18\ ÷\ 6}{3}$

a)

3

b)

1

c)

-1

d)

-3

22.

a)

0

b)

Undefined

c)

37

d)

-37

23.

34. As a front passed, the temperature changed steadily over 6 hours. Altogether it changes -18 degrees. What was the change in temperature per hour for the 6 hours?

a)

-18 ÷ 6 = -3 degrees

b)

18 ÷ 6 = 3 degrees

c)

18 + 6 = 24 degrees

d)

18 - 6 = 12 degrees

24.

a)

7

b)

-7

c)

8

d)

-8

25.

a)

2

b)

-2

c)

-3

d)

3

26.

a)

5

b)

-5

c)

-6

d)

6

27.

Evaluate and simplify (reduce):

$3\frac{1}{3}\div\frac{2}{3}=$

a)

$3\frac{2}{9}$

b)

$\frac{20}{9}$

c)

$\frac{1}{5}$

d)

5

28.

Evaluate and simplify (reduce):

$\frac{8}{9}\div\frac{4}{9}$ =

a)

$\frac{1}{2}$

b)

$\frac{32}{81}$

c)

2

d)

$\frac{36}{72}$

29.

Calculate
0.6÷5

a)

0.1

b)

0.12

c)

0.012

d)

1.02

30.

a)

5/1458

b)

45/2

c)

22.5

d)

291.6

31.

Calculate
0.6÷5

a)

0.1

b)

0.12

c)

0.012

d)

1.02

32.

-1.2 x -3.4

a)

-4.08

b)

-4.8

c)

40.8

d)

4.08

33.

$-8.6\ \times\left(-0.07\right)$

a)

0.602

b)

-0.62

c)

6.02

d)

-0.602

34.

$Solve:\ \ \ \frac{4}{5}\div2\ =\$

a)

$\frac{8}{5}$

b)

$\frac{5}{2}$

c)

$\frac{2}{5}$

d)

$\frac{4}{5}$

35.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

36.

A never ending decimal is which type of number?

a)

Rational

b)

Irrational

37.

Which number is an irrational number?

a)

2.5

b)

5.72314.....

c)

-17

d)

1/2

38.

Which of the following numbers is irrational?

a)

√8

b)

¾

c)

2

d)

-1.325

39.

Which of the following is rational?

a)

.211232112421125. . . .

b)

π

c)

√25

d)

√12

40.

Write 3.7777... as a mixed number

a)

3 4/5

b)

3 7/10

c)

3 7/9

41.

A student estimates the weight of astronauts on the Moon by multiplying their weight by the decimal 0.16666... What fraction can be used for the same estimation?

a)

1/6

b)

16/66

c)

2/9

42.

Write the number 0.21212121... as a fraction

a)

7/33

b)

21/100

c)

6/8

43.

$4.013\overline{25}$ is equal to

a)

4 . 013252525.....

b)

4 . 0132501325...

c)

4 . 01325555...

d)

4 . 0130132525..

44.

Write whether the following statement is true or false:

-12 is not a rational number.

a)

True

b)

False

45.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

46.

$3_{\sqrt{-1}}$ (cube root of -1)

a)

$\pm1$

b)

1

c)

-1

d)

none of the above (imaginary number)

47.

√64=___

a)

+ 6 only

b)

± 6

c)

± 8

d)

+ 8 only

48.

Which of the following is a perfect square?

a)

10

b)

25

c)

50

d)

89

49.

Which of the following in not a perfect square?

a)

49

b)

81

c)

111

d)

144

50.

What is the side length of a square that has an area of 36?

a)

9

b)

18

c)

6

d)

1296

51.

If I know the area of a square, how do I find the side length?

a)

I square the area.

b)

I divide the area by 2.

c)

I take the square root of the area.

d)

I divide the area by 4.

52.

Find the side length of a cube with a volume of $512cm^3$

a)

6 cm

b)

7 cm

c)

8 cm

53.

Identify each value that is a perfect cube:

a)

27

b)

1,000

c)

90

d)

1

54.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

55.

A cube with side length s has a volume of 64 cubic units. What is the length of the side of the cube?

a)

32 units

b)

16 units

c)

8 units

d)

4 units

56.

What is the cube root of 1000?

a)

10

b)

100

c)

500

d)

20

57.

Solve

y^2=36

a)

y=-6

b)

y=-9

c)

y=6

d)

y=9

e)

y=3

58.

Solve

x^2=25

a)

x=5

b)

x=-5

c)

x=525

d)

x=3

e)

x=-3

59.

Solve

z^2=81

a)

z=-3

b)

z=9

c)

z=245

d)

z=6

e)

z=-9

60.

Simplify:

\frac{5^7}{5^4}

a)

$5^{11}$

b)

$1^3$

c)

$5^3$

61.

Solve

a)

p⁴

b)

p^-4

c)

1/p^-4

d)

1/p⁴

62.

Solve

a)

h¹⁹

b)

h⁹⁰

c)

h^-1

d)

1/h¹

63.

Solve

a)

0

b)

1

c)

m¹

d)

m

64.

Solve (hint: there's more than 1 law you must obey)

a)

4k⁴

b)

4k^-8

c)

4 / k⁸

65.

a)

A

b)

B

c)

C

d)

D

66.

Simplify: (4x⁵)²

a)

16x¹⁰

b)

8x¹⁰

c)

16x⁷

d)

8x⁷

67.

Simplify. Your answer should contain only positive exponents.

$4x^{-2}y$

a)

$\frac{4y}{x^2}$

b)

$\frac{1x^2}{4y}$

c)

$\frac{4}{x^2y}$

d)

$\frac{1y}{4x^2}$

68.

Simplify. Your answer should contain only positive exponents.

$\frac{6x^0}{2y^{-1}}$

(a)

69.

Simplify. Your answer should contain only positive exponents.

$\frac{6^3}{6^5}$

a)

$6^{-2}$

b)

$\frac{1}{6^2}$

c)

$6^2$

d)

$\frac{1}{6}$

70.

Make this negative exponent positive.
9^-3

a)

$9^3$

b)

$\frac{1}{9^{-3}}$

c)

$\frac{1}{9^3}$

d)

729

71.

Simplify

$\left(\frac{x}{y}\right)^7$

a)

$\left(\frac{x^7}{y}\right)$

b)

$\left(\frac{x}{y^7}\right)$

c)

$\left(\frac{x^7}{y^7}\right)$

d)

$\left(\frac{7x}{7y}\right)$

72.

32,456

a)

$32\ x\ 10^5$

b)

$3\ x\ 10^4$

c)

$32\ x\ 10^2$

d)

$30,000$

73.

246

a)

$2.4\ x\ 10^3$

b)

$24\ x\ 10^1$

c)

$2\ x\ 10^2$

d)

$246\ x\ 10^2$

74.

532,476

a)

$532,000$

b)

$5.3\ x\ 10^6$

c)

$532\ x\ 10^2$

d)

$5\ x\ 10^5$

75.

0.00256

a)

$3\ x\ 10^{-3}$

b)

$2\ x\ 10^2$

c)

$3\ x\ 10^{-1}$

d)

$256\ x\ 10^5$

76.

0.004

a)

$4\ x\ 10^{-3}$

b)

$4\ x\ 10^{-2}$

c)

$4\ x\ 100$

d)

$4\ x\ 10^{-1}$

77.

0.0006392

a)

$7\ x\ 10^{-5}$

b)

$6\ x\ 10^4$

c)

$6392\ x\ 10^3$

d)

$6\ x\ 10^{-4}$

Mid year revision

Total questions: 77

Worksheet time: 3hrs 53mins

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