Powers, Roots & Standard Form (Cambridge (CIE) IGCSE Maths: Core): Exam Questions

Exam code: 0580 & 0980

46 mins25 questions
11 mark

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

21 mark

The cost of building a ship was $153000000.

Write 153000000 in standard form.

31 mark

Write the number 40 in standard form.

41 mark

Write 2020 in standard form.

51 mark

Write 15060 in standard form.

6a1 mark

Write 72000 in standard form.

6b1 mark

Write 0.0018 in standard form.

71 mark

Write down the value of 250.

8a1 mark

Write 640000 in standard form.

8b1 mark

Write 0.0006 in standard form.

91 mark

Write 0.00527 in standard form.

101 mark

Write 2760000 in standard form.

111 mark

Write 0.0000523 in standard form.

1
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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]

22 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]

3a2 marks

Write the number 0.0605 in standard form.

3b
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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.

4a1 mark

Write 45000 in standard form.

4b1 mark

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

[1]

53 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]

6a1 mark

Find the value of

6 to the power of 0 plus 6 squared

6b
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1 mark

Find the value of

5-4

7
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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]

8
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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]

91 mark

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

1
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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]

21 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...........................

3
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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

41 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....................... 

5
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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.