# ### Number Sequences 1

What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19

### Factors

Find all the factors of:

23

1, 23.

### Multiples

Subtract the 7th from the 12th multiples of:

11

55

### Polygons

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

Heptagon, Octagon and Nonagon (all regular)

### Rounding

Round the following numbers to three significant figures:
a) 99.05; 99.0
b) 859082; 859000
c) 0.003395; 0.00340

### Area of a Triangle

Find the area of a triangle that has a base of 5cm and a height of 9cm.

22.5cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 13cm, a height of 11cm and a top (parallel to base) of 5cm. 99cm2

Evaluate:

$$\frac{2}{5} + \frac{8}{9}$$ $$= 1\frac{13}{45}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{1}{3} × \frac{5}{7}$$ $$= \frac{5}{21}$$

### Fractions (Dividing)

Evaluate:

$$\frac{3}{4} ÷ \frac{6}{5}$$ $$= \frac{5}{8}$$

### Circle (Vocabulary)

Name the red part.  ### Venn Diagrams

Describe the red region.  ### Shape Formulas

What is the formula?  What is it?  ### Fraction to Percentage

Convert this fraction to a percentage.

$$\frac{5}{8}$$ $$= 62.5$$%

### Circle Area

Find the area of a circle that has a radius of 2cm. Give your answer to three significant figures.

12.6cm2

### Circle Circumference

Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.

44.0cm2

Calculate the value of:

9.8 + 8.8

= 18.6

### Decimals (Subtracting)

Calculate the value of:

8.4 − 3.9

= 4.5

### Decimals (Multiplying)

Calculate the value of:

8.3 × 9.6

= 79.68

### Decimals (Dividing)

Calculate the value of:

45.5 ÷ 13

= 3.5

### Indices (Simple)

What is the value of:

52

= 25

What is the value of:

10

= 1

Calculate the value of:

95 + 64

= 159

### Basic Subtraction

Calculate the value of:

71 − 28

= 43

### Basic Multiplication

Calculate the value of:

95 × 69

= 6555

### Basic Division 2

Calculate the value of:

1008 ÷ 16

= 63

### Percentage (Of)

Find the value of:

90% of 340

= 306

### Standard Form 1

Find the value of:

1.94 × 102

= 194

### Highest Common Factor

Find the highest common factor of eighteen and nine.

= 9

### Times Tables (2-5)

 8 × 3 = 24 9 × 3 = 27 4 × 4 = 16 6 × 4 = 24 7 × 3 = 21 5 × 4 = 20 3 × 4 = 12 2 × 2 = 4

### Times Tables (2-12)

 3 × 2 = 6 5 × 9 = 45 9 × 7 = 63 4 × 4 = 16 7 × 6 = 42 8 × 5 = 40 6 × 6 = 36 2 × 5 = 10

### Times Tables (2)

 4 × 2 = 8 8 × 2 = 16 6 × 2 = 12 5 × 2 = 10 3 × 2 = 6 9 × 2 = 18 7 × 2 = 14 2 × 2 = 4

### Times Tables (3)

 6 × 3 = 18 3 × 3 = 9 9 × 3 = 27 5 × 3 = 15 8 × 3 = 24 7 × 3 = 21 4 × 3 = 12 2 × 3 = 6

### Times Tables (4)

 6 × 4 = 24 8 × 4 = 32 5 × 4 = 20 3 × 4 = 12 7 × 4 = 28 4 × 4 = 16 9 × 4 = 36 2 × 4 = 8

### Times Tables (5)

 8 × 5 = 40 4 × 5 = 20 9 × 5 = 45 5 × 5 = 25 7 × 5 = 35 6 × 5 = 30 3 × 5 = 15 2 × 5 = 10

### Times Tables (6)

 5 × 6 = 30 8 × 6 = 48 4 × 6 = 24 6 × 6 = 36 3 × 6 = 18 7 × 6 = 42 9 × 6 = 54 2 × 6 = 12

### Times Tables (7)

 7 × 7 = 49 8 × 7 = 56 4 × 7 = 28 3 × 7 = 21 5 × 7 = 35 9 × 7 = 63 6 × 7 = 42 2 × 7 = 14

### Times Tables (8)

 5 × 8 = 40 4 × 8 = 32 8 × 8 = 64 3 × 8 = 24 9 × 8 = 72 7 × 8 = 56 6 × 8 = 48 2 × 8 = 16

### Times Tables (9)

 6 × 9 = 54 9 × 9 = 81 5 × 9 = 45 4 × 9 = 36 7 × 9 = 63 8 × 9 = 72 3 × 9 = 27 2 × 9 = 18

### Times Tables (12)

 6 × 12 = 72 3 × 12 = 36 4 × 12 = 48 7 × 12 = 84 5 × 12 = 60 9 × 12 = 108 8 × 12 = 96 2 × 12 = 24

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{35}{49}$$ $$= \frac{5}{7}$$

### Fractions (Mixed)

Evaluate:

$$1\frac{2}{3} − \frac{5}{6}$$ $$= \frac{5}{6}$$

### Pythagoras

Find AB if AC = 6m and BC = 7.8m. 4.98m

### Trigonometry (Angle)

Find angle ABC if AC = 4.4m and AB = 6.2m. 35.4o

### Trigonometry (Side)

Find BC if angle BCA = 23o and AC = 5.2m. 5.65m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{1}{3}$$ $$= 0.333$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.63$$ = $$\frac{63}{100}$$

### Percentage (Increase)

Increase £120 by 15%

£138

### Lowest Common Multiple

What is the lowest common multiple of eight and twelve.

= 24

### Sequence (Arithmetic)

7,18,29,40,51...

Find the:
a) next term; 62
b) nth term; 11n - 4
c) term number 36; 392

### Sequence (Geometric)

6,24,96,384,1536...

Find the:
a) next term; 6144
b) nth term; 6 × 4n-1
c) term number 9; 393216

### Interest (Simple)

If £160 is invested for 7 years with a simple interest rate of 3%, find the amount of interest earned. £33.60

### Interest (Compound)

If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 4 years. £243.10

### Currency Exchange

If £1 is worth $1.54, convert: a) £220 to dollars;$338.80

b) \$240 to pounds; £142.86

### Coordinates (Midpoint)

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

$$(7,2) \text{ and } (17,12)$$

(12,7)

What is the gradient of the line joining:

$$(4,-9) \text{ and } (10,-6)$$

$$\frac{1}{2}$$

### Coordinates (Square)

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

$$(4,2),(10,5),(1,8)$$

(7,11)

### Negative Numbers

a) 5 − 16 = -11
b) 5 × (-6) = -30
c) (5−15)(9−16) = 70
d) 30 ÷ (-6) = -5
e) (-11)2 = 121

### Substitution

If p = 6, q = 21 and
r = -8 evaluate:

a) 2q − p = 36
b) pq + r = 118
c) p2 − 5q - r = -61

### Equations (Type 1)

Solve:

$$5x = 30$$

$$x = 6$$

### Equations (Type 2)

Solve:

$$5x -5= 15$$

$$x = 4$$

### Equations (Type 3)

Solve:

$$9x +5= 6x + 26$$

$$x = 7$$

### Equations (Type 4)

Solve:

$$4(5x -4)+5= 149$$

$$x = 8$$

### Equations (Type 5)

Solve:

$$5(3x + 2)= 3(2x + 3)$$

$$x = -0.111 \text{(to 3 sf)}$$

### Equations (Simultaneous 1)

Solve:

$$4x-3y = -5$$
$$2x-3y = -13$$

$$x = 4, y = 7$$

### Equations (Simultaneous 2)

Solve:

$$4x-4y = 20$$
$$4x+16y = 60$$

$$x = 7, y = 2$$

### Equations (Simultaneous 3)

Solve:

$$5x+4y = -3$$
$$4x-3y = -52$$

$$x = -7, y = 8$$

### Sets (Union)

Find the union of:

{6,7,8,9,10} and
{3,4,5,6,7,8}

{3,4,5,6,7,8,9,10}

### 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 258o. What bearing would it return on from B to A? 078o

### Probability

A number is picked at random from the set

{1,2,3,4,5}

what is the probability it is even? $$\frac25$$

### BIDMAS

Evaluate:

(13 − 6)2 + 6 × 7

91

### Simplify

Simplify the following by collecting like terms:

$$5a−5−4a−5$$

$$a-10$$

### Ratio

Divide 120 in the ratio

7:5

70 and 50

### Graph (Linear)

Draw a rough sketch of the graph of:

$$y=-x+1$$

y intercept 1

### Prime Factors

Express the following number as the product of prime numbers:

29

29

### Percentage (Reverse)

In a sale an item costs £55 after a 45% reduction. What was the original price?

£100

### Averages

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

7,7,2,7,7

Mean = 6, mode = 7,
median = 7 and range = 5

### 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.

0.727272... $$\frac{8}{11}$$

### Percentage (Decrease)

Decrease £20 by 40%

£12

### Brackets (Linear)

Expand:

$$3(7x-5)$$

$$21x-15$$

Expand:

$$(2x+3)(2x-4)$$

$$4x^2-2x-12$$

### Factorise (Linear)

Factorise:

$$8x-16$$

$$8(x-2)$$

Factorise:

$$x^2+3x-4$$

$$(x+4)(x-1)$$

Factorise:

$$10x^2-3x-4$$

$$(2x+1)(5x-4)$$

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

2.5 × 10-2

= 0.025

### Standard Form 3

Write in standard form:

8860000

= 8.86 × 106

### Standard Form 4

Write in standard form:

0.0000592

= 5.92 × 10-5

Find the nth term:

$$-5, 0, 7, 16, 27,$$

$$n^2+2n-8$$

### Standard Form 5

Multiply 6 × 104
by 7 × 105 and give the answer in standard form.

= 4.2 × 1010

Solve:

$$x^2-x-12= 0$$

$$x = 4$$ and $$-3$$

Solve this equation giving the solutions to 3 significant figures:

$$4x^2+2x-4 = 0$$

$$x = 0.781$$ and $$-1.28$$

### Polygon Angles

What is the size of each interior angle of a regular heptagon?

128.6° ### 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:

4949 ÷ 7

= 707

### Number Sequences 2

What is the 9th:
a) Cube number; 729
b) Triangular number; 45
c) Fibonacci number. 34

### Square Numbers

What is the square of

6

36

### Prime Numbers

What is the 5th prime number?

11

### 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.

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