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Mathematics A: Surds and Indices Model Answers

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In the style of: Centre Number Candidate Number

Edexcel GCSE
Mathematics A
Surds and Indices
Model Answers Higher Tier
Past Paper Style Questions Paper Reference

Arranged by Topic 1MA0/1H


You must have: Ruler graduated in centimetres and millimetres, Total Marks
protractor, pair of compasses, pen, HB pencil, eraser. Tracing
paper may be used.

Instructions
t Use black ink or ball-point pen.
t Fill in the boxes at the top of this page with your name,
centre number and candidate number.
t Answer all questions.
t Answer the questions in the spaces provided
– there may be more space than you need.
t Calculators must not be used.
Information
t The
The total mark for this paper is 100
t – usemarks for each question are shown in brackets
this as a guide as to how much time to spend on each question.
t written
Questions labelled with an asterisk (*) are ones where the quality of your
communication will be assessed.

Advice
t Read each question carefully before you start to answer it.
t Keep an eye on the time.
t Try to answer every question.
t Check your answers if you have time at the end.
Turn over

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1.
Work out

Give your answer in its simplest form.

-1
........................................

1
2. (a) Write down the value of 64 2

8
.....................
(1)

(b) Write 45 in the form k 5 , where k is an integer.

An integer is a whole number.

.....................
(1)

(Total 2 marks)

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3. Find the value of

(i) 80
Anything to the power of 0, except 0, is 1

1
.....................................
1
(ii) 64 2

8
.....................................

(iii)

.....................................

(Total 4 marks)

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4. (a) Simplify

....................................
(1)

(b) Simplify

....................................
(1)

(c) Expand

....................................
(2)

(d) Expand and simplify

....................................
(2)

(e) Simplify

....................................
(1)

(f) Simplify

Subtract the powers.


....................................
(1)

(Total 8 marks)

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5. (a) Simplify q5 × q4

Add the powers. .....................................


(1)

(b) Simplify r5 ÷ r2
Subtract the powers. .....................................
(1)

(c) Simplify 12tv6 ÷ 6tv5

.....................................
(2)
1
(d) Simplify (9 w2 y 6 ) 2

.....................................
(2)

(e) For y > 1, write the following expressions in order of size.


Start with the expression with the least value.

If you are unsure, try putting in a number. Let y be 2

..........................................................................................
(2)
(Total 8 marks)

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6. (a) Simplify

..................................
(1)

(b) Simplify

..................................
(1)

(c) Simplify

..................................
(2)

(Total 4 marks)

7. (a) Expand and simplify 3(a + 4) + 5(2a + 1)

.....................................
(2)

(b) Simplify x4 × x6

.....................................
(1)

(c) Simplify y8 ÷ y5

.....................................
(1)

(d) Simplify (z4 )3

Multiply the powers


.....................................
(1)

(Total 5 marks)

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8. (a) Simplify v6 × v2

..............................
(1)
m8
(b) Simplify
m3
..............................
(1)

(c) Simplify (2y)3

........................................
(2)

(d) Simplify 3a2h × 4a5h4

........................................
(2)

(Total 6 marks)

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