Free Printable Y9 review quiz

1.

Estimate

\left(17.9-\sqrt{36.13}\right)\times3.89

a)

48

b)

- 80

c)

12

d)

14

2.

Ben and Sadie are going on a sponsored walk around a circuit.

Ben takes 25 min to do one circuit and Sadie takes 45 min.

They start together at 9:30 am.

When will they next cross the start line together?

a)

1:15 pm

b)

12:15

c)

12:45

d)

1 pm

3.

Write this number in standard form.

0.00000065

a)

$6.5\times10^{-7}$

b)

$65\times10^{-8}$

c)

$6.5\times10^7$

d)

$65\times10^8$

4.

Write this number in standard form.

0.9\ million

a)

$9\times10^6$

b)

$9\times10^7$

c)

$9\times10^5$

d)

$9\times10^{-5}$

5.

Write each number in standard form.

320\times10^7

a)

$32\times10^8$

b)

$32\times10^6$

c)

$3.2\times10^8$

d)

$3.2\times10^9$

6.

$\left(\frac{4}{3}\right)^{-2}$

Write this number as a fraction in its simplest form.

a)

$\frac{3}{4}$

b)

$\frac{16}{9}$

c)

$\frac{9}{16}$

d)

$-\frac{16}{9}$

7.

$9^{18}=27^x$

Work out the value of x.

a)

6

b)

15

c)

9

d)

12

8.

$\frac{8}{\sqrt{6}}$

Rationalise the denominator.

a)

$\frac{8\sqrt{6}}{6}$

b)

$\frac{4\sqrt{6}}{3}$

c)

$8\sqrt{6}$

d)

$\frac{\sqrt{6}}{8}$

9.

Solve

4\left(5x-2\right)=32

a)

1.2

b)

$\frac{6}{5}$

c)

-2

d)

2

10.

Find the first three terms of the sequence with nth term

u_{n_{ }}=81\times\left(\frac{1}{3}\right)^n

a)

3, 9, 27

b)

27, 54, 81

c)

27, 9, 3

d)

81, 54, 27

11.

Find the nth term of the arithmetic sequence

4,\ 10,\ 16,\ 22,\ 28,...

a)

$6n+2$

b)

$6n-2$

c)

$4n+6$

d)

$4n-6$

12.

Find the smallest number in this sequence which is greater than 234.

4,\ 10,\ 16,\ 22,\ 28,...

a)

232

b)

236

c)

238

d)

240

13.

Factorise completely

x^2-16

a)

$\left(x-4\right)\left(x-4\right)$

b)

$\left(x+4\right)\left(x-4\right)$

c)

$\left(x-2\right)\left(x-8\right)$

d)

$\left(x+2\right)\left(x-8\right)$

14.

Factorise completely

x^2+3x-10

a)

$\left(x+3\right)\left(x-10\right)$

b)

$\left(x-3\right)\left(x+10\right)$

c)

$\left(x-2\right)\left(x+5\right)$

d)

$\left(x+2\right)\left(x-5\right)$

15.

Solve the Quadratic

a)

x=-6 and x = -3

b)

x = 6 and x = -3

c)

x = -3 and x = 3

d)

x=-6 and x = -3

16.

What inequalities are shown?

a)

$-2<x\le1\ and\ 4<y<10$

b)

$-2\le x\le1\ and\ 4<y<10$

c)

$-2\le x\le1\ and\ 4\le y<10$

d)

$-2<x<1\ and\ 4\le y\le10$

17.

a)

a = 2x, b = 3x and c = 1

b)

a = 2, b = 3x and c = 1

c)

a = 2, b = 3 and c = 1

d)

a = -2, b = -3 and c = -1

18.

a)

$x=-4\ and\ y\ =2$

b)

$x=4\ and\ y\ =2$

c)

$x=-4\ and\ y\ =-2$

d)

$x=4\ and\ y\ =-2$

19.

a)

$x=\frac{4}{3}\ and\ x=3$

b)

$x=\frac{4}{3}\ and\ x=-3$

c)

$x=-\frac{4}{3}\ and\ x=3$

d)

$x=\frac{3}{4}\ and\ x=-3$

20.

a)

$x>8\ and\ x>3$

b)

$x>8\ and\ x<3$

c)

$x>8\ and\ x>-3$

d)

$x>8\ and\ x<-3$

21.

a)

-1, 0, 1, 2

b)

1, 2

c)

0, 1

d)

0, 1, 2

22.

a)

$x=5$

b)

$x=-7.5$

c)

$x=-5$

d)

$x=5\ and\ x=-7.5$

23.

a)

$x=-3.61\ and\ x=1.11$

b)

$x=3.6\ and\ x=1.1$

c)

$x=-3.6\ and\ x=1.1$

d)

$x=-3.6\ and\ x=-1.1$

24.

a)

$x=5\ and\ x=1.5$

b)

$x=5\ and\ x=-1.5$

c)

$x=-5\ and\ x=1.5$

d)

$x=-5\ and\ x=-1.5$

25.

a)

$x=1.21\ and\ x=0.549$

b)

$x=1.21\ and\ x=-0.549$

c)

$x=-1.21\ and\ x=0.549$

d)

$x=1.21\ and\ x=0.55$

26.

a)

x = 1

b)

x = 0

c)

x = 2

d)

x= 3

27.

a)

x = 0.38

b)

x = -0.38

c)

x = 3.18

d)

x = -3.18

28.

1 litre =

a)

1000 cm³

b)

10 cm³

c)

1 m³

d)

1000 ml³

29.

What is a litre a measure of?

a)

area

b)

volume

c)

capacity

d)

length

30.

In DT (distance-time) graphs, gradient =

a)

distance

b)

speed

c)

acceleration

d)

time

31.

In VT (velocity-time) graphs, gradient =

a)

distance

b)

speed

c)

acceleration

d)

time

32.

a)

Allied angles

b)

Corresponding angles

c)

Alternate angles

33.

a)

Allied angles

b)

Corresponding angles

c)

Alternate angles

34.

a)

Allied angles

b)

Corresponding angles

c)

Alternate angles

35.

For an obtuse sin angle...

a)

Add 180

b)

Subtract 180

c)

Subtract from 180

d)

Add 90

36.

For an obtuse tan angle...

a)

Add 180

b)

Subtract 180

c)

Subtract from 180

d)

Add 90

37.

1 ml

a)

1 cm³

b)

1 m³

c)

1000 L

d)

100 cm²

38.

1 m²

a)

10,000 cm²

b)

1,000,000 cm²

c)

10 cm²

d)

100 cm²

39.

1 m³ =

a)

100 cm ³

b)

1,000,000 cm³

c)

1,000 mm³

d)

1kg

40.

1 cm³

a)

1000 mm³

b)

10 mm³

c)

1,000,000 mm³

d)

100 mm³

41.

1 cm²

a)

1 m²

b)

100 mm²

c)

10mm²

d)

1000 mm²

42.

Write 84 as a product of its prime factors.

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43.

Find the lowest common multiple (LCM) of 60 and 84

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44.

Complete the table of values for $y=5-x^3$ .

Additional question in image.

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45.

Work out the value of x.

Give your answer correct to 1 decimal place.

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46.

Tariq buys a laptop.

He gets a discount of 5% off the normal price.

Tariq pays £551 for the laptop.

(a) Work out the normal price of the laptop.

Joan invests £6000 in a savings account.

The savings account pays compound interest at a rate of

2.4% for the first year

1.7% for each extra year.

(b) Work out the value of Joan’s investment at the end of 3 years.

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47.

Simplify $\frac{8\left(x-4\right)}{\left(x-4\right)^2}$

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48.

Simplify (3n⁴w²) ³

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49.

(a) Find the gradient of the graph.

(b) Interpret what the gradient of the graph represents.

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50.

Work out the length of AB.

Give your answer correct to 1 decimal place.

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51.

Describe fully the single transformation that maps triangle A onto triangle B.

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52.

Find the area of square B.

Give your answer correct to 3 significant figures.

You must show all your working.

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53.

Write down the coordinates of the turning point on the graph of

y = (x + 12)² – 7

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54.

Work out the area of the curved surface of the cone that is not painted grey.

Give your answer as a multiple of π

You must show all your working.

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55.

On the grid below, sketch the graph of the curve with equation y = f(–x)

56.

Find an equation for S.

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57.

Find the value of $3\times3^6\times3^{-6}$

(a)

58.

Find the value of $2^{-4}$

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59.

Find the value of $27^{\frac{1}{3}}$

(a)

60.

Find an expression for y in terms of w.

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61.

Show that $\frac{\left(4x+3\right)}{2x}+\frac{3}{5}$ can be written in the form $\frac{\left(ax+b\right)}{cx}$ where a, b and c are integers.

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62.

(a) Work out gf(1).

The function h is such that h = $\left(gf\right)^{-1}$

(b) Find h(x)

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63.

Find the coordinates of the turning point on the curve with equation.

You must show all your working. $y=9+18x-3x^2$

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64.

The first five terms of an arithmetic sequence are

1 4 7 10 13

Write down an expression, in terms of n, for the nth term of this sequence.

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65.

Show that: $2\frac{1}{3}\times3\frac{3}{4}=8\frac{3}{4}$

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66.

Write these numbers in order of size.

Start with the smallest number.

a)

0.000 672

b)

$67.2\times10^{-4}$

c)

$6.72\times10^5$

d)

$672\times10^4$

1)

2)

3)

4)

67.

Find the value of $\sqrt[4]{81\times10^8}$

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68.

Find the value of $64^{-\frac{1}{2}}$

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69.

Write $\frac{3^n}{9^{\left(n-1\right)}}$ as a power of 3.

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70.

On the grid, draw a cumulative frequency graph for your completed table.

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71.

Read the image.

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72.

f and g are functions such that $f\left(x\right)=\frac{12}{\sqrt[]{x}}\ and\ g\left(x\right)=3\left(2x-1\right)$

(a) Find g(5)

(b) Find gf(9)

(c) Find g–1(6)

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73.

On the number line below, show the inequality $-3\le y<4$

74.

(a) Find the coordinates of R.

(b) Find an equation of the line that is perpendicular to L and passes through Q.

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75.

Work out the value of Sadiq’s investment at the end of the 3 years.

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76.

Use this graph to find estimates for the solutions of the quadratic equation x² − 4x + 2 = 0

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77.

A person’s heart beats approximately 100 000 times each day.

A person lives for approximately 81 years.

(a) Work out an estimate for the number of times a person’s heart beats in their lifetime.

Give your answer in standard form correct to 2 significant figures.

2 × 10¹² red blood cells have a total mass of 90 grams.

(b) Work out the average mass of 1 red blood cell.

Give your answer in standard form.

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78.

Express $\frac{x}{x+2}+\frac{2x}{x-4}$ as single fraction in its simplest form.

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79.

Calculate an estimate for the mean distance.

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80.

Work out $4.2\times10^3+5.3\times10^2$

Give your answer in standard form.

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81.

x is directly proportional to the square of y.

y is directly proportional to the cube of z.

z = 2 when x = 32

Find a formula for x in terms of z.

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82.

Show that $\frac{6x^3}{9x^2-144}\div\frac{2x^4}{3\left(x-4\right)}$ can be written in the form $\frac{1}{x\left(x+r\right)}$ where r is an integer.

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83.

Read the figure.

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Y9 review quiz

Total questions: 83

Worksheet time: 3hrs 47mins

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