Number and Place Value: Master the Fundamentals of Mathematics

Question 1

Convert the following number to standard form: 0.0000032

Accepted Answer

3.2 x 10^-6

Answer

3.2 x 10^5

Answer

3.2 x 10^-5

Answer

3.2 x 10^6

Question 2

Which of the following is NOT a recurring decimal?

Accepted Answer

0.5

Answer

0.125

Answer

0.333...

Answer

0.6666...

Question 3

Which of the following numbers is expressed in standard form?

Accepted Answer

5.00 x 10^-3

Answer

0.0005

Answer

5000

Answer

50.0

Question 4

Which of the following inequalities represents the statement "x is greater than or equal to -5"?

Accepted Answer

x ≥ -5

Answer

x ≤ -5

Answer

x > -5

Answer

x < -5

Question 5

Convert the following fraction to a percentage: 3/8

Accepted Answer

37.5%

Answer

40%

Answer

45%

Answer

50%

Question 6

What is the cube root of 27?

Accepted Answer

3

Answer

9

Answer

27

Answer

81

Question 7

Which of the following expressions is equal to 100,000?

Accepted Answer

1 x 10^4

Answer

10 x 10^3

Answer

100 x 10^2

Answer

1000 x 10

Question 8

Simplify the expression: 2^3 × 2^2

Accepted Answer

2^6

Answer

2^5

Answer

4^5

Answer

4^6

Question 9

Find the value of 15% of 200.

Accepted Answer

30

Answer

3

Answer

300

Answer

3000

Question 10

Which of the following is a rational number?

Accepted Answer

2/3

Answer

0.123456...

Answer

√2

Answer

π

Question 11

Find the next term in the following sequence: 2, 5, 10, 17, 26, ...

Accepted Answer

35

Answer

37

Answer

42

Answer

45

Question 12

Evaluate (-3)^4 using the rules of exponents.

Accepted Answer

81

Answer

-81

Answer

12

Answer

-12

Question 13

Determine which inequality is true for all values of x.

Accepted Answer

x^2 >= 0

Answer

x^2 > 0

Answer

x^2 < 0

Answer

x^2 <= 0

Question 14

Calculate the percentage increase from 20 to 25.

Accepted Answer

5%

Answer

2%

Answer

20%

Answer

25%

Question 15

Which of the following numbers is not a rational number?

Accepted Answer

√2

Answer

1/2

Answer

0.125

Answer

0.333...

Question 16

Simplify the expression: (2 × 10^3) ÷ (5 × 10^-2)

Accepted Answer

4 × 10^5

Answer

2 × 10^5

Answer

4 × 10^-5

Answer

2 × 10^-5

Question 17

Which of the following is the correct order of operations?

Accepted Answer

Brackets, Exponents, Multiplication/Division, Addition/Subtraction

Answer

Brackets, Multiplication/Division, Exponents, Addition/Subtraction

Answer

Exponents, Brackets, Multiplication/Division, Addition/Subtraction

Answer

Addition/Subtraction, Multiplication/Division, Exponents, Brackets

Question 18

Which of the following is a surd?

Accepted Answer

√3

Answer

π / 2

Answer

1/2

Answer

0.125

Question 19

Find the nth term of the sequence: 2, 5, 10, 17, 26, ...

Accepted Answer

n^2 + 1

Answer

n^2 - 1

Answer

2n^2 + 1

Answer

2n^2 - 1

Question 20

Which of the following is NOT a type of surd?

Accepted Answer

Irrational surd

Answer

Square root

Answer

Cube root

Answer

4th root

Question 21

Find the solution to the inequality: x + 5 > 10.

Accepted Answer

x > 5

Answer

x < 5

Answer

x > 15

Answer

x < 15

Question 22

Which of the following is NOT a factor of 12?

Accepted Answer

9

Answer

2

Answer

3

Answer

6

Question 23

Which of the following is equivalent to 50%?

Accepted Answer

0.5

Answer

0.05

Answer

5

Answer

50

Question 24

Find the decimal equivalent of the fraction 3/8.

Accepted Answer

0.375

Answer

0.25

Answer

0.5

Answer

0.75

Question 25

Find the square root of 169.

Accepted Answer

13

Answer

8.45

Answer

12

Answer

14

Question 26

Which of the following is an example of a surd?

Accepted Answer

√2

Answer

0.5

Answer

100

Answer

π

Question 27

Find the value of 2sqrt(3) + 5sqrt(3). Select the correct answer.

Accepted Answer

7sqrt(3)

Answer

2sqrt(3)

Answer

10sqrt(3)

Answer

25

Question 28

Given the expression 12x^2 - 8x, which of the following is NOT a factor?

Accepted Answer

3

Answer

4x

Answer

2x

Answer

x

Question 29

Solve the inequality 2x - 5 > 11 and choose the correct answer.

Accepted Answer

x > 8

Answer

x < 8

Answer

x > -8

Answer

x < -8

Question 30

Find the least common multiple (LCM) of 12 and 18.

Accepted Answer

36

Answer

48

Answer

60

Answer

24

Question 31

Which fraction is equivalent to 0.75?

Accepted Answer

3/4

Answer

5/8

Answer

2/3

Answer

1/2

Question 32

Calculate the value of 0.6 + (-0.2) × 4.

Accepted Answer

-0.2

Answer

1.4

Answer

0.4

Answer

0.6

Question 33

Convert the fraction 2/5 to a percentage.

Accepted Answer

40%

Answer

50%

Answer

25%

Answer

60%

Question 34

What is the square root of 121?

Accepted Answer

11

Answer

10

Answer

12

Answer

9

Question 35

Which of the following numbers is rational?

Accepted Answer

-1.25

Answer

√2

Answer

π

Answer

3.14159...

Question 36

What is the value of 100⁰?

Accepted Answer

1

Answer

0

Answer

0.01

Answer

100

Question 37

Which of the following is a factor of 24?

Accepted Answer

6

Answer

5

Answer

9

Answer

7

Question 38

Express 0.0005 in scientific notation.

Accepted Answer

5 × 10<sup>-4</sup>

Answer

5 × 10<sup>4</sup>

Answer

0.5 × 10^-3

Answer

0.005 × 10^-2

Question 39

In the number 456,789, what is the place value of the underlined digit 7?

Accepted Answer

Ten thousands

Answer

Tens

Answer

Hundreds

Answer

Thousands

Question 40

What is the fraction equivalent of the decimal 0.625?

Accepted Answer

5/8

Answer

7/16

Answer

1/4

Answer

3/8

Question 41

Calculate the value of 3.5 x 10^-2.

Accepted Answer

0.035

Answer

35

Answer

0.35

Answer

3.5

Question 42

Which of these numbers is the smallest: -3.5, 2, 0, 1/2?

Accepted Answer

-3.5

Answer

0

Answer

2

Answer

1/2

Question 43

What is the result of 2^3 x 5?

Accepted Answer

40

Answer

20

Answer

10

Answer

80

Question 44

Which decimal represents 45%?

Accepted Answer

0.45

Answer

1/4

Answer

0.045

Answer

4.5

Question 45

What is the square root of 144?

Accepted Answer

12

Answer

6

Answer

24

Answer

18

Question 46

Which number has the largest absolute value: -7, 3, 0, 5?

Accepted Answer

-7

Answer

0

Answer

5

Answer

3

Question 47

Which number is a factor of 12?

Accepted Answer

3

Answer

9

Answer

5

Answer

7

Question 48

In the number 23,456, what is the numerical value of the digit '3'?

Accepted Answer

3,000

Answer

30

Answer

30,000

Answer

300

Question 49

Which of the following numbers is prime?

Accepted Answer

17

Answer

24

Answer

36

Answer

12

Question 50

Convert the fraction 3/4 to its decimal equivalent.

Accepted Answer

0.75

Answer

0.33

Answer

0.25

Answer

0.5

Question 51

Simplify the expression 5^3.

Accepted Answer

125

Answer

15

Answer

25

Question 52

A store offers a 20% discount on a dress that originally costs £60. What is the discounted price?

Accepted Answer

£48

Answer

£50

Answer

£52

Question 53

Which of the following numbers is the greatest?

Accepted Answer

-2.5

Answer

-5.5

Answer

-4.5

Answer

-3.5

Question 54

Calculate the square root of 81.

Accepted Answer

9

Answer

3

Answer

6561

Answer

18

Question 55

A recipe requires 1.5 kg of flour. Your scale measures in grams. How many grams of flour do you need?

Accepted Answer

1500

Answer

15000

Answer

15

Answer

150

Question 56

Express the number 3.14 x 10^2 in standard form.

Accepted Answer

314

Answer

3140

Answer

31400

Answer

31.4