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Rational & Irrational Numbers, Integer Operations, and Pythagora

Total questions: 53

Worksheet time: 27mins

Name
Class
Date
1.
Which of the following is an irrational number?
a)
0.5
b)
√3
c)
7/8
d)
3.14
2.
Which number is rational?
a)
1.333... (repeating)
b)
π
c)
√5
d)
√2
3.
Which of the following is a rational number?
a)
√8
b)
0.75
c)
π
4.
Identify the irrational number:
a)
√16
b)
√10
c)
1/4
d)
2
5.
Which of these numbers is rational?
a)
7/2
b)
√2
c)
π
d)
√11
6.
Is 0.333... (repeating) a rational number?
a)
Yes
b)
No
7.
Which of the following represents an irrational number?
a)
√50
b)
9/10
c)
0.6
d)
1/2
8.
Is the number 25/3 rational?
a)
Yes
b)
No
9.
Is √49 rational or irrational?
a)
Rational
b)
Irrational
10.
Which of the following is irrational?
a)
3/5
b)
√7
c)
0.125
d)
√9
11.
Which of the following is an irrational number?
a)
0.5
b)
√3
c)
7/8
d)
3.14
12.
Which number is rational?
a)
1.333... (repeating)
b)
π
c)
√5
d)
√2
13.
Which of the following is a rational number?
a)
√8
b)
0.75
c)
π
14.
Identify the irrational number:
a)
√16
b)
√10
c)
1/4
d)
2
15.
Which of these numbers is rational?
a)
7/2
b)
√2
c)
π
d)
√11
16.
Is 0.333... (repeating) a rational number?
a)
Yes
b)
No
17.
Which of the following represents an irrational number?
a)
√50
b)
9/10
c)
0.6
d)
1/2
18.
Is the number 25/3 rational?
a)
Yes
b)
No
19.
Is √49 rational or irrational?
a)
Rational
b)
Irrational
20.
Which of the following is irrational?
a)
3/5
b)
√7
c)
0.125
d)
√9
21.
Arrange the following irrational numbers in ascending order: √2, √5, √7
a)
√7, √5, √2
b)
√2, √5, √7
c)
√5, √7, √2
d)
√2, √7, √5
22.
Which of the following is the largest?
a)
√2
b)
√3
c)
√5
d)
√7
23.
Which is the smallest irrational number?
a)
√10
b)
√3
c)
√12
d)
√2
24.
Arrange in descending order: √8, √3, √6
a)
√8, √6, √3
b)
√6, √8, √3
c)
√3, √8, √6
d)
√6, √3, √8
25.
Arrange √3, √10, √4 in increasing order.
a)
√10, √4, √3
b)
√3, √4, √10
c)
√4, √3, √10
d)
√4, √10, √3
26.
Solve x^2 = 36.
a)
x = 6
b)
x = -6
c)
x = ± 6
d)
x = 36
27.
Find the cube root of x^3 = 8.
a)
x = 2
b)
x = 4
c)
-2
d)
x = 8
28.
Solve x^2 = 81.
a)
x = 9
b)
-9
c)
x = ± 9
d)
x = 81
29.
What is the solution for x^3 = 64?
a)
x = 4
b)
x = 8
c)
-4
d)
-8
30.
Solve x^2 = 49.
a)
x = 7
b)
x = ± 7
c)
x = -7
d)
x = 49
31.
Convert \frac{7}{8} into a decimal.
a)
0.875
b)
0.75
c)
0.5
d)
0.25
32.
Convert 0.5 into a fraction.
a)

13\frac{1}{3}

b)

12\frac{1}{2}

c)

14\frac{1}{4}

d)

58\frac{5}{8}

33.

Is 14\frac{1}{4} a terminating or repeating decimal?

a)
Terminating
b)
Repeating
34.

Convert 35\frac{3}{5} into a decimal.

a)
0.75
b)
0.6
c)
0.5
d)
0.4
35.
Convert 0.625 into a fraction.
a)

58\frac{5}{8}

b)

34\frac{3}{4}

c)

12\frac{1}{2}

d)

78\frac{7}{8}

36.
What is -7 + 9 ?
a)
2
b)
-2
c)
16
d)
-16
37.
What is -8 - 5 ?
a)
-13
b)
-3
c)
-1
d)
13
38.

Find (−3)×4.(-3)\times4.

a)
-12
b)
12
c)
-7
d)
7
39.
What is 12 \div (-4) ?
a)
-3
b)
3
c)
-4
d)
4
40.
Solve 6 + (-2) .
a)
8
b)
4
c)
-4
d)
-8
41.

What is (−5)×(−6)?(-5)\times(-6)?

a)
30
b)
-30
c)
1
d)
-1
42.
Find (-9) - (-7) .
a)
-2
b)
2
c)
-16
d)
16
43.

What is (−4)×6?(-4)\times6?

a)
-24
b)
24
c)
-10
d)
10
44.

Solve 14÷(−7).14\div(-7).

a)
-2
b)
2
c)
7
d)
-7
45.
Find 12 + (-9) .
a)
3
b)
-3
c)
21
d)
-21
46.

What is 225?\sqrt{225}?

a)
15
b)
25
c)
10
d)
20
47.

Find 64.\sqrt{64}.

a)
8
b)
6
c)
10
d)
4
48.

What is 81\sqrt{81} ?

a)
9
b)
10
c)
7
d)
8
49.

Find 49\sqrt{49} .

a)
7
b)
6
c)
8
d)
5
50.

What is 100\sqrt{100} ?

a)
10
b)
12
c)
8
d)
9
51.
In a right triangle, if a = 9 and b = 12 , what is the value of c ?
a)
15
b)
20
c)
13
d)
17
52.
In a right triangle, if a = 5 and c = 13 , find b .
a)
12
b)
10
c)
8
d)
14
53.
For a triangle with a = 6 , b = 8 , and c = ? , find c .
a)
10
b)
12
c)
14
d)
8