Free Printable Y10S2ExamRev_Algebra&Indices

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Worksheets

Y10S2ExamRev_Algebra&Indices

Total questions: 28

Worksheet time: 23mins

Name

Class

Date

1.

Simplify

$a^2\times a^6\div a^3$

a)

$a^9$

b)

$a^{11}$

c)

$a^5$

d)

$a^{-1}$

2.

Write $\frac{1}{4\times4\times4\times4\times4}$ in index form

a)

$4^5$

b)

$4^{-5}$

3.

$\left(x^3\right)^4$ can be simplified into

a)

$x^{12}$

b)

$x^7$

c)

$x^{81}$

d)

$x^{-1}$

4.

What is the base for $6^3$ ?

(a)

5.

What is the indices for $4^2$ ?

(a)

6.

How else can you write $\frac{1}{x^3}$ ?

a)

$\frac{1}{x^3}$

b)

$x^3$

c)

$\frac{1}{x^{-3}}$

d)

$x^{-3}$

7.

Simplify

$6x^3\times x^4\div2x^2$

a)

$12x^6$

b)

$3x^5$

c)

$12x^9$

d)

$3x^6$

8.

Expand the bracket for $\left(2x^3y^2z\right)^3$

a)

$6x^9y^6z^3$

b)

$8x^{27}y^8z$

c)

$6x^6y^6z^3$

d)

$8x^9y^6z^3$

9.

7 x 7 x 7 x 7 x 7 = ...

a)

$7^3$

b)

$7^4$

c)

$7^5$

d)

$7^n$

10.

Simplify: χ³ ÷ χ²

a)

χ

b)

χ⁵

c)

χ⁶

d)

χ^-1

e)

1/χ

11.

a)

a⁷

b)

a¹

c)

$a^{-12}$

d)

a¹²

12.

Simplify 4⁰

a)

1

b)

4

c)

0

13.

Write 9⁵ ÷ 9³ as a single power

a)

9²

b)

9⁸

c)

9¹⁵

14.

5a×3a

a)

15a²

b)

30a

c)

15a

d)

a³⁰

15.

(a³)³×a

a)

a⁹

b)

a⁷

c)

a¹⁰

d)

a¹²

16.

$a^m\times a^n=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

17.

$a^0=...$

a)

a

b)

0

c)

1

18.

Simplify

$\frac{5p^3q^2}{6p^2q}$

a)

$\frac{5}{6}p$

b)

$\frac{5}{6}p^5q3$

c)

$\frac{5p}{6q}$

d)

$\frac{5}{6}pq$

19.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

20.

Write (4⁷ x 4³) ∕ 4⁴ as a single power

a)

4¹⁴

b)

4¹

c)

4⁸

d)

4⁶

21.

Simplify: (3h²)³

a)

27h⁶

b)

27h⁵

c)

9h⁶

d)

9h⁵

22.

Simplify

$\frac{t^3}{t}$

a)

t²

b)

t

c)

2t

d)

1

23.

What is (-2)³ equal to?

(a)

24.

How do you get Pikachu to get on a bus?

a)

don't know

b)

you poke him

c)

tell him to get on

d)

leave him

25.

Why were the fishes grades so bad

a)

it was because he was under sea level

b)

because he wasn't studying

c)

don't know

26.

What Country is Mr Taylor from ?

a)

Ireland (to be sure)

b)

Scotland (och aye)

c)

England (mmm Gravy)

d)

Australia (G'day Skippy)

27.

What is the name of Mr Taylor's cat ?

a)

Kitten-Cat

b)

Furball 2

c)

Moose

d)

Socks

28.

Louis's favourite thing to do in class is ?

a)

Maths

b)

SlimeFarm

c)

Annoy Mitch/Jarvis/Rocco/Matthew?etc

d)

Check his NFT price

Reset

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