Number Sequences 1

What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11

Factors

Find all the factors of:

47

1, 47.

Multiples

Subtract the 5th from the 9th multiples of:

4

16

Polygons

What are the names of regular polygons with:
a) eight sides;
b) nine sides;
c) ten sides.

Octagon, Nonagon and Decagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 64.47; 64.5
b) 554408; 554000
c) 59; 59.0
d) 0.005995; 0.00600

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 12cm.

42cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 9cm, a height of 10cm and a top (parallel to base) of 3cm. 60cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{4} + \frac{5}{8}\) \(= 1\frac{1}{8}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{4}{5}\) \(= \frac{8}{15}\)

Fractions (Dividing)

Evaluate:

\( \frac{1}{3} ÷ \frac{7}{5}\) \(= \frac{5}{21}\)

Circle (Vocabulary)

Name the red part.

Venn Diagrams

Describe the red region.

Shape Formulas

What is the formula?

Formulas (Advanced)

What is it?

Fraction to Percentage

Convert this fraction to a percentage.

\( \frac{3}{8}\) \(= 37.5\)%

Circle Area

Find the area of a circle that has a radius of 6cm. Give your answer to three significant figures.

113cm²

Circle Circumference

Find the circumference of a circle that has a radius of 3cm. Give your answer to three significant figures.

18.8cm

Decimals (Adding)

Calculate the value of:

8.6 + 9.6

= 18.2

Decimals (Subtracting)

Calculate the value of:

9.4 − 4.7

= 4.7

Decimals (Multiplying)

Calculate the value of:

4.6 × 3.5

= 16.1

Decimals (Dividing)

Calculate the value of:

167.4 ÷ 18

= 9.3

Indices (Simple)

What is the value of:

4³

= 64

Indices (Advanced)

What is the value of:

\(5^{-3}\)

\(= \frac{1}{125}\)

Basic Addition

Calculate the value of:

79 + 65

= 144

Basic Subtraction

Calculate the value of:

74 − 25

= 49

Basic Multiplication

Calculate the value of:

53 × 23

= 1219

Basic Division 2

Calculate the value of:

1444 ÷ 19

= 76

Percentage (Of)

Find the value of:

85% of 100

= 85

Standard Form 1

Find the value of:

7.67 × 10⁴

= 76700

Highest Common Factor

Find the highest common factor of thirty two and eight.

= 8

Times Tables (2-5)

Times Tables (2-12)

Times Tables (2)

Times Tables (3)

Times Tables (4)

Times Tables (5)

Times Tables (6)

Times Tables (7)

Times Tables (8)

Times Tables (9)

Times Tables (12)

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{45}{63}\) \(= \frac{5}{7}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{1}{2} − \frac{4}{5}\) \(= 2\frac{7}{10}\)

Pythagoras

Find AC if AB = 4.3m and BC = 6.1m. 4.33m

Trigonometry (Angle)

Find angle ABC if AB = 4.4m and BC = 5.9m. 41.8^o

Trigonometry (Side)

Find BC if angle BCA = 54^o and AB = 4.6m. 5.69m

Roman Numerals (1-12)

Give your answer in Roman numerals.

²

Roman Numerals (60-100)

Give your answer in Roman numerals.

²

Roman Numerals (Large)

Give your answer in Roman numerals.

²

Fraction to Decimal

Convert this fraction to a decimal.

\( \frac{3}{6}\) \(= 0.5\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.62\) = \( \frac{31}{50}\)

Percentage (Increase)

Increase £180 by 20%

£216

Lowest Common Multiple

What is the lowest common multiple of sixteen and twenty.

= 80

Sequence (Arithmetic)

6,18,30,42,54...

Find the:
a) next term; 66
b) n^th term; 12n - 6
c) term number 39; 462

Sequence (Geometric)

3,6,12,24,48...

Find the:
a) next term; 96
b) n^th term; 3 × 2^n-1
c) term number 9; 768

Interest (Simple)

If £120 is invested for 5 years with a simple interest rate of 1%, find the amount of interest earned. £6.00

Interest (Compound)

If £100 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £159.38

Currency Exchange

If £1 is worth $1.28, convert:

a) £240 to dollars; $307.20

b) $160 to pounds; £125.00

Coordinates (Midpoint)

What are the coordinates of the midpoint of the line joining:

\((8,7) \text{ and } (16,13)\)

(12,10)

Gradient

What is the gradient of the line joining:

\((6,5) \text{ and } (9,11)\)

2

Coordinates (Square)

Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4^th?

\((3,5),(7,10),(-2,9)\)

(2,14)

Negative Numbers

a) 12 − 21 = -9
b) 12 × (-9) = -108
c) (8−17)(7−19) = 108
d) 108 ÷ (-9) = -12
e) (-5)² = 25

Substitution

If p = 6, q = 26 and
r = -8 evaluate:

a) 2q − p = 46
b) pq + r = 148
c) p² − 5q - r = -86

Equations (Type 1)

Solve:

\(3x = 6\)

\(x = 2\)

Equations (Type 2)

Solve:

\(3x +9= 18\)

\(x = 3\)

Equations (Type 3)

Solve:

\(10x -4= 6x + 12\)

\(x = 4\)

Equations (Type 4)

Solve:

\(3(5x -6)-8= 4\)

\(x = 2\)

Equations (Type 5)

Solve:

\(4(5x + 5)= 3(3x + 2)\)

\(x = -1.27 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x+2y = 16\)
\(2x-2y = -4\)

\(x = 2, y = 4\)

Equations (Simultaneous 2)

Solve:

\(3x+3y = 30\)
\(5x-12y = -69\)

\(x = 3, y = 7\)

Equations (Simultaneous 3)

Solve:

\(3x-2y = -11.5\)
\(5x+7y = 1.5\)

\(x = -2.5, y = 2\)

Sets (Union)

Find the union of:

{6,7,8,9,10} and
{3,6,9,12,15}

{3,6,7,8,9,10,12,15}

Sets (Intersection)

Find the intersection of:

{1,3,5,7,9} and
{6,7,8,9,10}

{7,9}

Bearings

A plane flies from point A to point B on a bearing of 055^o. What bearing would it return on from B to A? 235^o

Probability

A number is picked at random from the set

{3,6,9,12,15}

what is the probability it is even? \(\frac25\)

BIDMAS

Evaluate:

(12 − 3)² + 5 × 6

111

Simplify

Simplify the following by collecting like terms:

\(3y+2w+7y\)

\(10y+2w\)

Ratio

Divide 60 in the ratio

5:1

50 and 10

Graph Linear (1)

Draw a rough sketch of the graph of:

\(2y=x+2\)

Gradient 0.5
y intercept 1

Prime Factors

Express the following number as the product of prime numbers:

216

2 x 2 x 2 x 3 x 3 x 3

Percentage (Reverse)

In a sale an item costs £126 after a 30% reduction. What was the original price?

£180

Averages

Find the mean, mode, median and range of the following:

1,3,5,7,9

Mean = 5, no mode,
median = 5 and range = 8

Time (Analogue)

What time is this?

Time (Digital)

Sketch a clock face:

Decimals (Recurring)

Write the following recurring decimal as a fraction in its lowest terms.

0.646464... \(\frac{64}{99}\)

Percentage (Decrease)

Decrease £20 by 45%

£11

Brackets (Linear)

Expand:

\(5(9x-7)\)

\(45x-35\)

Brackets (Quadratic)

Expand:

\((4x+1)(2x-4)\)

\(8x^2-14x-4\)

Factorise (Linear)

Factorise:

\(30x-54\)

\(6(5x-9)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-2\)

\((x+1)(x-2)\)

Factorise (Quadratic 2)

Factorise:

\(5x^2+19x-4\)

\((x+4)(5x-1)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

7.04 × 10^-4

= 0.000704

Standard Form 3

Write in standard form:

6650000

= 6.65 × 10⁶

Standard Form 4

Write in standard form:

0.0000746

= 7.46 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(12, 19, 30, 45, 64, \)

\(2n^2+n+9\)

Standard Form 5

Multiply 6 × 10⁵
by 7 × 10⁵ and give the answer in standard form.

= 4.2 × 10¹¹

Equations (Quadratic 1)

Solve:

\(x^2+x-12= 0\)

\(x = 3\) and \(-4\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(5x^2+4x-3 = 0\)

\(x = 0.472\) and \(-1.27\)

Polygon Angles

What is the size of each exterior angle of a regular decagon?

36°

Change The Subject

Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$

$$c=\frac{2d-1}{3}$$

Basic Division 1

Calculate the value of:

2490 ÷ 6

= 415

Number Sequences 2

What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55

Square Numbers

What is the square of

5

25

Prime Numbers

What is the 12th prime number?

37

Last Lesson

Write down something you learnt in the previous mathematics lesson.

Last Week

Write down something you learnt in one of the mathematics lessons last week.

Angles

Calculate \(x\).

Decimals (Ordering)

Write down these numbers: 3.3, 3.03, 0.33, 3, 0.3, 3.33, 0.03, in ascending order.
0.03, 0.3, 0.33, 3, 3.03, 3.3, 3.33,

Lengths (Ordering)

Write down these lengths: 17cm, 1.08m, 107cm, 1.8m, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,

Capacities (Ordering)

Write down these capacities: 18cl, 200ml, 17cl, 21cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,

Angles with Parallels 1

a = 48

Angles with Parallels 2

a = 132

Rounding (1sf)

Round to one significant figure:
a) 42.23; 40
b) 527271; 500000
c) 55; 60
d) 0.00129; 0.001

Estimation

Round each value to one significant figure to make an estimate:$$3.8 \times 21 - 154$$\(4 \times 20 - 200 = -120\)

Pie Charts (1)

A pie chart shows the colours of 6 books. What sector angle represents the
4 red books?
240°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 6 hats. How many green hats are represented
by a sector
angle of 120°?
2