Free Printable 8 Maths 1st Terminal Assessment

1.

Solve using the product law of exponents

(5⁵)(5³)

a)

25⁸

b)

5¹⁵

c)

25¹⁵

d)

5⁸

2.

Solve using the product law of exponents.

(10¹²)(10⁴)

a)

10¹⁶

b)

10⁴⁸

c)

100¹⁶

d)

100⁴⁸

3.

Simplify.

(x⁴) (x)

a)

2x⁴

b)

x

c)

x⁵

d)

x⁴

4.

Evaluate and leave answer as an exponent.

4⁸(4⁸)(4^-5)

a)

64¹¹

b)

4¹¹

c)

64²¹

d)

4^-21

5.

Use the product law to solve.

(7^-17)(7^-24)

a)

7 ^-7

b)

49⁶⁹⁷

c)

7 ^-41

d)

49 ^-41

6.

Simplify

w⁵(w^x)w⁷

a)

w^35x

b)

w¹³

c)

w^12x

d)

w^{12 + x}

7.

Solve.

(y⁶)(y^-11)

a)

y^-66

b)

y^-5

c)

y⁵

d)

y¹⁷

8.

Solve using the product law of exponents and simplify your answer.

(m)(m⁶)(m^-2)

a)

m^-12

b)

m⁵

c)

m⁴

d)

m⁹

9.

Solve and leave answer as exponent.

9^-13(9³)9^-1(9¹³)

a)

9²

b)

9^-2

c)

9^-30

d)

6561⁵⁰⁷

10.

Solve and leave answer as exponent.

(8ⁿ)(8²)

a)

64²ⁿ

b)

8^{(2 + n)}

c)

8³

d)

8²ⁿ

11.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

12.

Simplify the expression:
c⁴⋅c³=

a)

^c12

b)

c⁴⁺³

c)

c⁷

13.

Simplify the expression: 3x²⋅x²=

a)

3x

b)

3x²⁺²

c)

3x⁴

14.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

15.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

16.

Simplify 4^-2=

a)

1/16

b)

-16

c)

1/4

d)

-42

17.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

18.

x⁶ / x²

a)

x⁴

b)

x¹²

c)

x³

d)

x⁸

19.

a)

b)

c)

d)

20.

x^-3

a)

-x³

b)

1 / x³

c)

1 / x^-3

d)

-x^-3

21.

a)

b)

c)

d)

22.

a)

b)

c)

d)

23.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

24.

Write with positive exponents:

1/a^-2

a)

a^-2

b)

a²

c)

1/a¹

25.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

26.

-4x⁰

a)

-4x

b)

-4

c)

1

d)

-1

27.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

28.

Simplify

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

29.

Simplify

a)

x⁴/3

b)

3x¹⁰

c)

36x¹⁰

d)

3x⁴

30.

a)

2 / x²

b)

-2x²

c)

2x²

d)

2x¹⁴

31.

Evaluate
2⁵

a)

10

b)

16

c)

32

d)

124

32.

What is the value of
9²

a)

18

b)

81

c)

729

d)

9

33.

In this expression
$5^2$
The base is ...

a)

2

b)

5

34.

In this expression
$7^5$
The exponent is ...

a)

7

b)

5

35.

In this expression
$10^4$
10 is the ...

a)

base

b)

exponent

36.

In this expression
$3^4$
4 is the ...

a)

base

b)

exponent

37.

In this expression
$3^4$
3 is the ...

a)

base

b)

exponent

38.

$5^2=$

2 answers

a)

10

b)

25

c)

5 x 2

d)

5 x 5

39.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

40.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

41.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

42.

Rewrite using a positive exponent.
w^-13

a)

-w¹³

b)

¹/_w¹³

c)

¹/_w^-13

d)

w¹³

43.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

44.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

d)

not here

45.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

46.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

47.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

48.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

49.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

50.

What is a rational number?

a)

A rational number is always an integer.

b)

A rational number is a number with an infinite decimal representation.

c)

A rational number is a number that cannot be expressed as a fraction.

d)

A rational number is a number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

51.

Provide two examples of rational numbers.

a)

2, 3

b)

5/2, 7/3

c)

1/2, -3/4

d)

-1, 0

52.

What is the definition of an irrational number?

a)

An irrational number is a whole number that can be divided evenly.

b)

An irrational number is a number that can be expressed as a repeating decimal.

c)

An irrational number is a real number that cannot be expressed as a fraction of two integers.

d)

An irrational number is a complex number with a real part and an imaginary part.

53.

Give an example of an irrational number.

a)

√2

b)

0

c)

-1

d)

3.14

54.

How can you identify a rational number?

a)

A rational number is always a whole number.

b)

A rational number is a number that can be expressed as a fraction of two integers.

c)

A rational number is a number that cannot be expressed as a fraction.

d)

A rational number cannot be negative.

55.

Is the number 1.5 a rational number?

a)

No, 1.5 cannot be expressed as a fraction.

b)

Np, 1.5 is a whole number.

c)

Yes, 1.5 is a rational number.

d)

No, 1.5 is an irrational number.

56.

What is the decimal representation of the rational number 1/4?

a)

0.25

b)

0.5

c)

1.25

d)

0.75

57.

Can a negative number be a rational number?

a)

Yes, but -2 is not a rational number.

b)

Yes, a negative number can be a rational number. -1 is a rational number.

c)

Negative numbers are always irrational.

d)

No, negative numbers cannot be rational numbers.

58.

Explain why the square root of 2 is considered irrational.

a)

The square root of 2 is considered irrational because it cannot be expressed as a fraction of two integers.

b)

The square root of 2 is equal to 2.

c)

The square root of 2 is a whole number.

d)

The square root of 2 can be written as 1.5.

59.

Is 0.333... a rational number?

a)

Yes, 0.333... is a rational number.

b)

Yes, 0.333... is an integer.

c)

No, 0.333... cannot be expressed as a fraction.

d)

No, 0.333... is an irrational number.

60.

An number that can be written in the form n/d, where n and d are integers and d ≠ 0, is called a ____ number.

a)

whole number

b)

integer

c)

rational

d)

irrational

61.

The product of a rational number and its multiplicative inverse is ____.

a)

The number itself

b)

-1

c)

0

d)

1

62.

Between $\frac{-15}{27}$ and $\frac{-20}{27}$ , the greater number is _____

63.

A rational number in simplest form and equivalent to $\frac{20}{45}$ is _____

64.

There are ____ rational numbers between any two rational numbers.

a)

no rational numbers

b)

a finite number

c)

infinitely many

d)

only one rational number

65.

The multiplicative inverse of -1 is ___

a)

0

b)

1

c)

-2

d)

-1

66.

The operation of ____ is commutative over rational numbers.

a)

addition

b)

division

c)

multiplication

d)

subtraction

67.

If $\frac{a}{b}+\frac{c}{d}$ = 0, then $\frac{c}{d}$ is the _____ inverse of $\frac{a}{b}$ .

a)

subtractive

b)

multiplicative

c)

additive

d)

divisive

68.

There are ___ rational numbers between 0 and 1000.

a)

750

b)

infinitely many

c)

500

d)

999

69.

State the property shown by the numerical statement.

$-\frac{5}{11}\times-\frac{7}{9}=-\frac{7}{9}\times-\frac{5}{11}$

a)

Commutative Property of Multiplication

b)

Identity Property of Multiplication

c)

Distributive Property of Multiplication

d)

Associative Property of Multiplication

70.

State the property shown by the numerical statement.

$\left[\frac{2}{3}+\frac{7}{8}\right]+\left[-\frac{1}{2}\right]=\frac{2}{3}+\left[\frac{7}{8}+\left[-\frac{1}{2}\right]\right]$

a)

Commutative Property of Addition

b)

Distributive Property of Multiplication

c)

Associative Property of Addition

d)

Identity Property of Addition

71.

State the property shown by the numerical statement.

$-\frac{6}{19}+0=0+\left[-\frac{6}{19}\right]=-\frac{6}{19}$

a)

Multiplicative Identity Property

b)

Additive Identity Property

c)

Distributive Property

d)

Commutative Property

72.

If the rational number $\frac{a}{b}$ is positive,

then ab ____ 0

a)

ab ≤ 0

b)

ab = 0

c)

ab > 0

d)

ab < 0

73.

If the fractions $-\frac{2}{5},-\frac{7}{25},\frac{1}{10},-\frac{19}{4},-\frac{29}{51}$ are arranged in ascending order of their values, then which one will be the first?

74.

Match the following numbers with types of numbers.

a)

Natural Numbers (N)

1.

1, 2, 3, ...

b)

Whole Numbers (W)

2.

0, 1, 2, 3, ...

c)

Integers (Z)

3.

... , -3, -3, -1, 0, 1, 2, 3, ...

d)

Rational Numbers (Q)

4.

-8, -2 , 0, 2.48, 5

e)

Real Numbers (R)

5.

3, 0, 1.5, √5

75.

Match the following

a)

$\sqrt[3]{-64}$

1.

-4

b)

(-6)²

2.

36

c)

$-\ \sqrt[]{64}$

3.

-8

d)

(-3)³

4.

-27

e)

-6²

5.

-36

76.

Which statement is NOT true?

a)

√169 = 13

b)

15² = 225

c)

4² = 16

d)

√164 = 18

77.

$\sqrt[]{104}$ is between the two whole numbers (a)

Choose from the below words

10 and 11

100 and 121

9 and 10

121 and 144

10 and 12

10.1 and 10.2

78.

x² = 64

a)

x = 8

b)

x = 32

c)

x = -8, 8

d)

x = -32, 32

79.

-3² + 2²

a)

13

b)

-5

c)

10

d)

-2

80.

When would it be appropriate to use the $\pm$ symbol? Choose TWO correct answers.

a)

$x^2=16$

b)

$\sqrt[]{16}$

c)

$4^2=x$

d)

$\left(-4\right)^2=x$

81.

Organize these options into the right categories

Categorize the following

64

9

27

-8

81

15

76

Perfect square

Perfect cube

Both a perfect square and perfect cube

Neither a perfect square or cube

82.

∛125

a)

5

b)

4

c)

6

d)

7

83.

What is the cube root of 1000?

(a)

84.

The cube of an odd number is always an (a) number.

85.

(a) The multiplicative inverse of - 1 is 1.

a)

True

b)

False

86.

(b) The operation of subtraction is commutative over rational numbers.

a)

True

b)

False

87.

(c) -2/5 lies between -1 and 1/5.

a)

True

b)

False

88.

(d) If c/d is the additive inverse of a/b then -a/b +c/d = 0.

a)

True

b)

False

89.

(e) There are 999 rational numbers between 0 and 1,000.

a)

True

b)

False

8 Maths 1st Terminal Assessment

Total questions: 89

Worksheet time: 3hrs 58mins

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