Free Printable Year 9 Quad 1

1.

Factorise 4x + 14

a)

2(2x+7)

b)

4(x+10)

c)

4(x+3)

d)

2(x+12)

2.

Factorise fully: 6x + 18

a)

3(2x + 6)

b)

6(x+3)

c)

2(3x+9)

d)

6(x+12)

3.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

4.

Expand and simplify the following quadratic expression...

(x + 3)(x + 8)

a)

x² + 11x + 24

b)

x² + 11x + 11

c)

x² + 24x + 11

d)

x² + 24x + 24

5.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

ASA triangle

d)

SAS triangle

6.

Which construction is shown here?

a)

Perpendicular bisector

b)

Angle bisector

c)

Line bisector

d)

Perpendicular

7.

What shape would be produced by all the points which are 20cm away from a point?

a)

Circle

b)

Discorectangle (rectangle with semicircles on the end)

c)

Straight line

d)

Arc

8.

What shape would be produced by all the points which are 5cm away from a straight line which is 10cm long?

a)

Circle

b)

Discorectangle (rectangle with semicircles on the end)

c)

Rectangle

d)

Oval

9.

What construction would you use to map the points which are equidistant from two lines AB and AC?

a)

Circle

b)

Perpendicular bisector

c)

Angle bisector

d)

Arc

10.

Which picture shows the locus of all points closer to A than B?

a)

b)

c)

d)

11.

Which picture shows the locus of all points closer to AB than AC?

a)

b)

c)

d)

12.

How else could you write $4^{-2}$ ?

a)

$16$

b)

$-16$

c)

$-\frac{1}{16}$

d)

$\frac{1}{16}$

13.

Simplify the following expression

$\left(v^3\right)^5$

a)

$v^{35}$

b)

$v^8$

c)

$v^{15}$

d)

$v^{-2}$

14.

4³=

a)

3 x 3 x 3 x 3

b)

4 x 4 x 4

c)

4 x 3

d)

4 + 3

15.

4^-3=

a)

$\frac{3}{4^3}$

b)

$\frac{4}{3^4}$

c)

$\frac{1}{4^{-3}}$

d)

$\frac{1}{4^3}$

16.

10⁰=

a)

1

b)

-1

c)

0

d)

10

17.

2³=

a)

2

b)

6

c)

8

d)

9

18.

2³=

a)

2 x 3

b)

2 x 2 x 2

c)

3 x 3

d)

2 x 3 x 2 x 3

19.

a)

340000

b)

340

c)

3400

d)

34000

20.

a)

0.012

b)

0.12

c)

1.2

d)

12

21.

a)

5.4 × 10^-4

b)

54 × 10⁵

c)

5.4 × 10⁵

d)

5.4 × 10⁴

22.

a)

7 × 10^-4

b)

0.7 × 10^-4

c)

7 × 10⁴

d)

7 × 10^-5

23.

Find the standard form value of (2.5 x $10^4$ ) x ( 6 x $10^{-9}$ )

a)

$15\ \times10^{-5}$

b)

$15\ \times10^{-4}$

c)

$1.5\ \times\ 10^{-4}$

d)

$1.5\ \times\ 10^{-6}$

24.

Solve:

(6 x 10⁶) ÷ (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10⁴

d)

3 x 10³

25.

(2 x 10⁹) x (4 x 10 ^{- 4})

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

Year 9 Quad 1

Total questions: 25

Worksheet time: 20mins

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