### Number Sequences 1

What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29

### Factors

Find all the factors of:

38

1, 2, 19, 38.

### Multiples

Subtract the 5th from the 8th multiples of:

4

12

### Polygons

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

Hexagon, Heptagon and Octagon (all regular)

### Rounding

Round the following numbers to three significant figures:
a) 22.56; 22.6
b) 588113; 588000
c) 0.005595; 0.00560

### Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 9cm.

27cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 7cm and a top (parallel to base) of 6cm. 70cm2

Evaluate:

$$\frac{1}{3} + \frac{6}{8}$$ $$= 1\frac{1}{12}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{3}{4} × \frac{6}{7}$$ $$= \frac{9}{14}$$

### Fractions (Dividing)

Evaluate:

$$\frac{3}{4} ÷ \frac{8}{6}$$ $$= \frac{9}{16}$$

### 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.

$$\frac{3}{8}$$ $$= 37.5$$%

### Circle Area

Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.

3.14cm2

### Circle Circumference

Find the circumference of a circle that has a radius of 9cm. Give your answer to three significant figures.

56.5cm2

Calculate the value of:

5.9 + 2.8

= 8.7

### Decimals (Subtracting)

Calculate the value of:

6.1 − 1.5

= 4.6

### Decimals (Multiplying)

Calculate the value of:

4.6 × 6.4

= 29.44

### Decimals (Dividing)

Calculate the value of:

71.4 ÷ 17

= 4.2

### Indices (Simple)

What is the value of:

23

= 8

What is the value of:

5-1

= 0.2

Calculate the value of:

56 + 27

= 83

### Basic Subtraction

Calculate the value of:

92 − 26

= 66

### Basic Multiplication

Calculate the value of:

82 × 78

= 6396

### Basic Division 2

Calculate the value of:

1488 ÷ 16

= 93

### Percentage (Of)

Find the value of:

25% of 220

= 55

### Standard Form 1

Find the value of:

4.71 × 104

= 47100

### Highest Common Factor

Find the highest common factor of fourteen and six.

= 2

### Times Tables (2-5)

 4 × 4 = 16 5 × 5 = 25 8 × 3 = 24 6 × 5 = 30 9 × 4 = 36 3 × 2 = 6 7 × 5 = 35 2 × 4 = 8

### Times Tables (2-12)

 3 × 7 = 21 8 × 11 = 88 4 × 9 = 36 5 × 2 = 10 7 × 3 = 21 9 × 3 = 27 6 × 3 = 18 2 × 9 = 18

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{8}{16}$$ $$= \frac{1}{2}$$

### Fractions (Mixed)

Evaluate:

$$1\frac{2}{3} − \frac{6}{7}$$ $$= \frac{17}{21}$$

### Pythagoras

Find AB if AC = 4.6m and BC = 6.2m. 4.16m

### Trigonometry (Angle)

Find angle BCA if AB = 3.4m and AC = 5.2m. 33.2o

### Trigonometry (Side)

Find AC if angle BCA = 57o and AB = 4m. 2.60m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{3}{7}$$ $$= 0.429$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.11$$ = $$\frac{11}{100}$$

### Percentage (Increase)

Increase £120 by 5%

£126

### Lowest Common Multiple

What is the lowest common multiple of six and fourteen.

= 42

### Sequence (Arithmetic)

6,16,26,36,46...

Find the:
a) next term; 56
b) nth term; 10n - 4
c) term number 32; 316

### Sequence (Geometric)

4,12,36,108,324...

Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 8; 8748

### Interest (Simple)

If £180 is invested for 7 years with a simple interest rate of 1%, find the amount of interest earned. £12.60

### Interest (Compound)

If £240 is invested with an interest rate of 3% compounded annually, find the value of the investment after 5 years. £278.23

### Currency Exchange

If £1 is worth $1.6, convert: a) £240 to dollars;$384.00

b) \$180 to pounds; £150.00

### Coordinates (Midpoint)

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

$$(6,2) \text{ and } (14,12)$$

(10,7)

What is the gradient of the line joining:

$$(6,-8) \text{ and } (12,-3)$$

$$\frac{5}{6}$$

### Coordinates (Square)

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

$$(1,5),(6,11),(-5,10)$$

(0,16)

### Negative Numbers

a) 11 − 16 = -5
b) 11 × (-10) = -110
c) (9−19)(9−20) = 110
d) 110 ÷ (-10) = -11
e) (-12)2 = 144

### Substitution

If p = 6, q = 22 and
r = -11 evaluate:

a) 2q − p = 38
b) pq + r = 121
c) p2 − 5q - r = -63

### Equations (Type 1)

Solve:

$$3x = 12$$

$$x = 4$$

### Equations (Type 2)

Solve:

$$2x -3= 7$$

$$x = 5$$

### Equations (Type 3)

Solve:

$$7x +6= 5x + 20$$

$$x = 7$$

### Equations (Type 4)

Solve:

$$5(2x +3)+9= 94$$

$$x = 7$$

### Equations (Type 5)

Solve:

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

$$x = -0.643 \text{(to 3 sf)}$$

### Equations (Simultaneous 1)

Solve:

$$5x-2y = 23$$
$$4x-2y = 16$$

$$x = 7, y = 6$$

### Equations (Simultaneous 2)

Solve:

$$4x+4y = 56$$
$$3x+12y = 105$$

$$x = 7, y = 7$$

### Equations (Simultaneous 3)

Solve:

$$6x-2y = 5$$
$$7x+2y = 34$$

$$x = 3, y = 6.5$$

### Sets (Union)

Find the union of:

{1,3,5,7,9} and
{2,6,12}

{1,2,3,5,6,7,9,12}

### Sets (Intersection)

Find the intersection of:

{2,4,6,8,10} and
{5,6,7,8,9,10}

{6,8,10}

### Bearings

A plane flies from point A to point B on a bearing of 272o. What bearing would it return on from B to A? 092o

### Probability

A number is picked at random from the set

{2,4,6,8,10}

what is the probability it is even? 1

Evaluate:

32 − 5 × 3 + 4

-2

### Simplify

Simplify the following by collecting like terms:

$$2y+2y^2-5y+y^2$$

$$3y^2-3y$$

### Ratio

Divide 144 in the ratio

7:5

84 and 60

### Graph (Linear)

Draw a rough sketch of the graph of:

$$y=2x-1$$

y intercept -1

### Prime Factors

Express the following number as the product of prime numbers:

31

31

### Percentage (Reverse)

In a sale an item costs £30 after a 25% reduction. What was the original price?

£40

### Averages

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

6,7,8,9,10

Mean = 8, no mode,
median = 8 and range = 4

### 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.

0.373737... $$\frac{37}{99}$$

### Percentage (Decrease)

Decrease £120 by 15%

£102

### Brackets (Linear)

Expand:

$$4(7x-9)$$

$$28x-36$$

Expand:

$$(x+3)(2x-1)$$

$$2x^2+5x-3$$

### Factorise (Linear)

Factorise:

$$63x-18$$

$$9(7x-2)$$

Factorise:

$$x^2-9$$

$$(x+3)(x-3)$$

Factorise:

$$3x^2-11x-4$$

$$(3x+1)(x-4)$$

Which theorem?

### Standard Form 2

Find the value of:

4.9 × 10-5

= 0.000049

### Standard Form 3

Write in standard form:

77300

= 7.73 × 104

### Standard Form 4

Write in standard form:

0.000408

= 4.08 × 10-4

Find the nth term:

$$1, 13, 31, 55, 85,$$

$$3n^2+3n-5$$

### Standard Form 5

Multiply 7 × 103
by 7 × 106 and give the answer in standard form.

= 4.9 × 1010

Solve:

$$x^2+3x-10= 0$$

$$x = 2$$ and $$-5$$

Solve this equation giving the solutions to 3 significant figures:

$$2x^2+x-5 = 0$$

$$x = 1.35$$ and $$-1.85$$

### Polygon Angles

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

140°

### 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:

1720 ÷ 8

= 215

### Number Sequences 2

What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144

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