# ### 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:

23

1, 23.

### Multiples

Subtract the 7th from the 10th multiples of:

8

24

### 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

Round the following numbers to three significant figures:
a) 17.76; 17.8
b) 353236; 353000
c) 0.005295; 0.00530

### Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 9cm.

18cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 6cm and a top (parallel to base) of 6cm. 60cm2

Evaluate:

$$\frac{1}{4} + \frac{7}{8}$$ $$= 1\frac{1}{8}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{3}{4} × \frac{5}{7}$$ $$= \frac{15}{28}$$

### 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 to 3 significant figures.

$$\frac{4}{7}$$ $$= 57.1$$%

### 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 11cm. Give your answer to three significant figures.

69.1cm2

Calculate the value of:

9.5 + 7.7

= 17.2

### Decimals (Subtracting)

Calculate the value of:

8.2 − 1.5

= 6.7

### Decimals (Multiplying)

Calculate the value of:

7.7 × 3.7

= 28.49

### Decimals (Dividing)

Calculate the value of:

87.6 ÷ 12

= 7.3

### Indices (Simple)

What is the value of:

33

= 27

What is the value of:

2-1

= 0.5

Calculate the value of:

38 + 37

= 75

### Basic Subtraction

Calculate the value of:

82 − 27

= 55

### Basic Multiplication

Calculate the value of:

55 × 69

= 3795

### Basic Division 2

Calculate the value of:

1584 ÷ 16

= 99

### Percentage (Of)

Find the value of:

65% of 60

= 39

### Standard Form 1

Find the value of:

4 × 106

= 4000000

### Highest Common Factor

Find the highest common factor of eighteen and six.

= 6

### Times Tables (2-5)

 5 × 4 = 20 3 × 4 = 12 7 × 2 = 14 9 × 5 = 45 6 × 5 = 30 8 × 4 = 32 4 × 3 = 12 2 × 4 = 8

### Times Tables (2-12)

 7 × 3 = 21 4 × 8 = 32 6 × 3 = 18 5 × 4 = 20 8 × 11 = 88 3 × 5 = 15 9 × 3 = 27 2 × 4 = 8

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{36}{54}$$ $$= \frac{2}{3}$$

### Fractions (Mixed)

Evaluate:

$$1\frac{3}{4} − \frac{6}{7}$$ $$= \frac{25}{28}$$

### Pythagoras

Find AB if AC = 6m and BC = 7.4m. 4.33m

### Trigonometry (Angle)

Find angle ABC if AC = 4.1m and AB = 5.1m. 38.8o

### Trigonometry (Side)

Find AC if angle ABC = 24o and BC = 3.4m. 1.38m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{3}{8}$$ $$= 0.375$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.51$$ = $$\frac{51}{100}$$

### Percentage (Increase)

Increase £100 by 45%

£145

### Lowest Common Multiple

What is the lowest common multiple of six and fourteen.

= 42

### Sequence (Arithmetic)

3,11,19,27,35...

Find the:
a) next term; 43
b) nth term; 8n - 5
c) term number 40; 315

### Sequence (Geometric)

5,10,20,40,80...

Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 9; 1280

### Interest (Simple)

If £180 is invested for 7 years with a simple interest rate of 3%, find the amount of interest earned. £37.80

### Interest (Compound)

If £160 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £187.47

### Currency Exchange

If £1 is worth $1.5, convert: a) £100 to dollars;$150.00

b) \$100 to pounds; £66.67

### Coordinates (Midpoint)

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

$$(-8,-4) \text{ and } (4,4)$$

(-2,0)

What is the gradient of the line joining:

$$(-3,5) \text{ and } (1,10)$$

$$\frac{5}{4}$$

### Coordinates (Square)

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

$$(2,1),(8,5),(-2,7)$$

(4,11)

### Negative Numbers

a) 6 − 17 = -11
b) 6 × (-7) = -42
c) (10−18)(11−21) = 80
d) 42 ÷ (-7) = -6
e) (-12)2 = 144

### Substitution

If p = 5, q = 23 and
r = -7 evaluate:

a) 2q − p = 41
b) pq + r = 108
c) p2 − 5q - r = -83

### Equations (Type 1)

Solve:

$$4x = 16$$

$$x = 4$$

### Equations (Type 2)

Solve:

$$2x -9= 3$$

$$x = 6$$

### Equations (Type 3)

Solve:

$$6x -3= 2x + 21$$

$$x = 6$$

### Equations (Type 4)

Solve:

$$2(4x -2)+10= 46$$

$$x = 5$$

### Equations (Type 5)

Solve:

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

$$x = -0.421 \text{(to 3 sf)}$$

### Equations (Simultaneous 1)

Solve:

$$5x+5y = 65$$
$$2x+5y = 44$$

$$x = 7, y = 6$$

### Equations (Simultaneous 2)

Solve:

$$3x+4y = 37$$
$$3x+12y = 69$$

$$x = 7, y = 4$$

### Equations (Simultaneous 3)

Solve:

$$5x+6y = -76$$
$$6x-3y = -4.5$$

$$x = -5, y = -8.5$$

### Sets (Union)

Find the union of:

{1,2,3,4,5} and
{6,7,8,9,10}

{1,2,3,4,5,6,7,8,9,10}

### Sets (Intersection)

Find the intersection of:

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

{5,7,9}

### Bearings

A plane flies from point A to point B on a bearing of 010o. What bearing would it return on from B to A? 190o

### Probability

A number is picked at random from the set

{1,3,6,10,15}

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

Evaluate:

82 − 6 × 7 + 8

30

### Simplify

Simplify the following by collecting like terms:

$$7d−3e−5d+7e$$

$$4e+2d$$

### Ratio

Divide 80 in the ratio

6:4

48 and 32

### 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:

24

2 x 2 x 2 x 3

### Percentage (Reverse)

In a sale an item costs £39 after a 35% reduction. What was the original price?

£60

### Averages

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

5,8,8,6,7,8

Mean = 7, mode = 8,
median = 7.5 and range = 3

### 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.

0.858585... $$\frac{85}{99}$$

### Percentage (Decrease)

Decrease £180 by 10%

£162

### Brackets (Linear)

Expand:

$$9(8x-9)$$

$$72x-81$$

Expand:

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

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

### Factorise (Linear)

Factorise:

$$2x-6$$

$$2(x-3)$$

Factorise:

$$x^2-1$$

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

Factorise:

$$15x^2+2x-1$$

$$(3x+1)(5x-1)$$

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

4.78 × 10-5

= 0.0000478

### Standard Form 3

Write in standard form:

3940

= 3.94 × 103

### Standard Form 4

Write in standard form:

0.000368

= 3.68 × 10-4

Find the nth term:

$$8, 23, 44, 71, 104,$$

$$3n^2+6n-1$$

### Standard Form 5

Multiply 9 × 106
by 9 × 103 and give the answer in standard form.

= 8.1 × 1010

Solve:

$$x^2-x-6= 0$$

$$x = 3$$ and $$-2$$

Solve this equation giving the solutions to 3 significant figures:

$$3x^2+5x-1 = 0$$

$$x = 0.180$$ and $$-1.85$$

### Polygon Angles

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

72° ### Change The Subject

Make $$k$$ the subject of the formula
$$c=\frac{a(2+k)}{b}$$

$$k=\frac{bc}{a}-2$$

### Basic Division 1

Calculate the value of:

2877 ÷ 3

= 959

### Number Sequences 2

What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13

### Square Numbers

What is the square root of

1

1

### Prime Numbers

What are the next three prime numbers after
47

53, 59, 61

### 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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