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Powers and Roots: Fluency and Exam Drill (Part 2) - Worksheets, Questions and Revision

19 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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GCSE · Number

1.9DB Powers and Roots: Fluency and Exam Drill (Part 2)

EDEXCEL 1MA1 · Calculator allowed · about 40 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Work out (-6)2.
(Total for Question 1 is 1 mark)
2
Work out (-3)3.
(Total for Question 2 is 1 mark)
3
Work out √0.16.
(Total for Question 3 is 1 mark)
4
Work out the cube root of -8.
(Total for Question 4 is 1 mark)
5
Write 63 as a repeated multiplication (in the form 6 x 6 x ...).
(Total for Question 5 is 1 mark)
6
Work out 34.
(Total for Question 6 is 1 mark)
7
Work out 91/2.
(Total for Question 7 is 1 mark)
8
Work out the value of each expression.
(a)Work out (-7)0.(1)
(b)Work out 2-3, giving your answer as a fraction.(1)
(Total for Question 8 is 2 marks)
9
√50 is not a whole number. Round √50 to the nearest whole number.
(Total for Question 9 is 1 mark)
10
Simplify 74 x 7-2. Give your answer as a single power of 7.
(Total for Question 10 is 2 marks)
11
Simplify 56 / 59. Give your answer as a fraction.
(Total for Question 11 is 2 marks)
12
A storage box for a school science kit in Bristol is a cube with volume 125 cm3. Work out the length of one edge of the box.
(Total for Question 12 is 2 marks)
13
The table shows some values of 2n.
n-2-10123
2n?1/212?8

Complete the table by working out the two missing values of 2n.
(Total for Question 13 is 2 marks)
14
A square patio in a garden in Leeds has an area of 75 m2. Find the exact side length of the patio. Give your answer in the form k*√n, where n is as small as possible.
(Total for Question 14 is 2 marks)
15
Write 3.5 x 10-3 as an ordinary number.
(Total for Question 15 is 2 marks)
16
Simplify (23 x 25) / 24, giving your answer as an ordinary number.
(Total for Question 16 is 2 marks)
17
Solve 32x = 81. Give the value of x.
(Total for Question 17 is 2 marks)
18
A student's working to simplify 43 x 42 is shown below.

43 x 42 = 46 = 4096

Identify the error in the student's working, and write down the correct answer.
(Total for Question 18 is 2 marks)
19
Work out the value of 82/3.
(Total for Question 19 is 2 marks)
Mark scheme · 1.9DB Powers and Roots: Fluency and Exam Drill (Part 2)

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

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Question 1

1 mark

Question 2

1 mark

Question 3

1 mark

Question 4

1 mark

Question 5

1 mark

Question 6

1 mark

Question 7

1 mark

Question 8

2 marks
Did your answer earn the marks?

Question 9

1 mark

Question 10

2 marks

Question 11

2 marks

Question 12

2 marks

Question 13

2 marks

Question 14

2 marks

Question 15

2 marks

Question 16

2 marks

Question 17

2 marks

Question 18

2 marks
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Question 19

2 marks
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