Powers, Roots & Standard Form (Edexcel GCSE Maths: Foundation)

Exam Questions

46 mins25 questions
1
Sme Calculator
1 mark

Write down the value of 19 to the power of 0.

Did this page help you?

2
Sme Calculator
1 mark

The cost of building a ship was $153000000.

Write 153000000 in standard form.

Did this page help you?

3
Sme Calculator
1 mark

Write the number 40 in standard form.

Did this page help you?

4
Sme Calculator
1 mark

Write 2020 in standard form.

Did this page help you?

5
Sme Calculator
1 mark

Write 15060 in standard form.

Did this page help you?

6a
Sme Calculator
1 mark

Write 72000 in standard form.

6b
Sme Calculator
1 mark

Write 0.0018 in standard form.

Did this page help you?

7
Sme Calculator
1 mark

Write down the value of 250.

Did this page help you?

8a
Sme Calculator
1 mark

Write 640000 in standard form.

8b
Sme Calculator
1 mark

Write 0.0006 in standard form.

Did this page help you?

9
Sme Calculator
1 mark

Write 0.00527 in standard form.

Did this page help you?

10
Sme Calculator
1 mark

Write 2760000 in standard form.

Did this page help you?

11
Sme Calculator
1 mark

Write 0.0000523 in standard form.

Did this page help you?

1
Sme Calculator
3 marks

i) Write 9.314 cross times 10 to the power of 5 as an ordinary number.

[1]

ii) Calculate open parentheses 4.1 cross times 10 to the power of negative 3 end exponent close parentheses cross times open parentheses 8.9 cross times 10 to the power of 7 close parentheses
Give your answer in standard form.

[2]

Did this page help you?

2
Sme Calculator
2 marks

Find the value of

i) 3 to the power of 0 comma

[1]

ii) 5 to the power of negative 2 end exponent.

[1]

Did this page help you?

3a
Sme Calculator
2 marks

Write the number 0.0605 in standard form.

3b
Sme Calculator
1 mark

Calculate open parentheses 1.63 cross times 10 to the power of 12 close parentheses cross times open parentheses 2.47 cross times 10 to the power of negative 1 end exponent close parentheses

Give your answer in standard form.

Did this page help you?

4a
Sme Calculator
1 mark

Write 45000 in standard form.

4b
Sme Calculator
1 mark

Write 2.06 cross times 10 to the power of negative 2 end exponent as an ordinary number.

[1]

Did this page help you?

5
Sme Calculator
3 marks

i) Write down the reciprocal of 15.

[1]

ii) Write down the value of 15 to the power of 0.

[1]

iii) Write 0.015 in standard form.

[1]

Did this page help you?

6a
Sme Calculator
1 mark

Find the value of

6 to the power of 0 plus 6 squared

6b
Sme Calculator
1 mark

Find the value of

5-4

Did this page help you?

7
Sme Calculator
3 marks

i) Write 4.2 cross times 10 to the power of negative 3 end exponent as an ordinary number.

[1]

ii) Calculate open parentheses 8.1 cross times 10 cubed close parentheses plus open parentheses 7.9 cross times 10 to the power of 4 close parentheses Give your answer in standard form.

[2]

Did this page help you?

8
Sme Calculator
3 marks

Find the value of

i) cube root of 512

[1]

ii) 6 to the power of 8 over 2 to the power of 6

[1]

iii) 70

[1]

Did this page help you?

9
Sme Calculator
1 mark

Find the value of open parentheses square root of 25 close parentheses squared.

Did this page help you?

1
Sme Calculator
4 marks

i) Write 4.81 cross times 10 to the power of negative 3 end exponent as an ordinary number.

[1]

ii) Write 75000 in standard form.

[1]

iii) Calculate  fraction numerator 6.3 cross times 10 squared over denominator 7 cross times 10 to the power of negative 3 end exponent end fraction

Write your answer in standard form.

[2]

Did this page help you?

2
Sme Calculator
1 mark

Find the value of x when 5 to the power of x cross times 5 cubed equals 5 to the power of 12

x equals...........................

Did this page help you?

3
Sme Calculator
2 marks

The average distance from Earth to Mars is 2.25 cross times 10 to the power of 8 km. A space ship travels from Earth to Mars at an average speed of 5.8 cross times 10 to the power of 4 km/h.

Find how long, in hours, the journey takes.

.............................. hours

Did this page help you?

4
Sme Calculator
1 mark

Find the value of  p when  5 to the power of p divided by space 5 to the power of 8 space equals space 5 to the power of 13.

p space equals....................... 

Did this page help you?

5
Sme Calculator
3 marks

Mercury is 58 000 000 km from the sun.

Jupiter is 7.22×108 km further from the sun than Mercury.

Earth is 1.5×108 km from the sun. 

Find how many times further from the sun Jupiter is, than Earth.

Did this page help you?