# ### Number Sequences 1

What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37

### Factors

Find all the factors of:

33

1, 3, 11, 33.

### Multiples

Subtract the 6th from the 10th multiples of:

9

36

### 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) 75.62; 75.6
b) 141769; 142000
c) 0.008495; 0.00850

### Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 8cm.

16cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 10cm and a top (parallel to base) of 4cm. 90cm2

Evaluate:

$$\frac{3}{5} + \frac{8}{10}$$ $$= 1\frac{2}{5}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{1}{2} × \frac{3}{4}$$ $$= \frac{3}{8}$$

### Fractions (Dividing)

Evaluate:

$$\frac{2}{3} ÷ \frac{6}{4}$$ $$= \frac{4}{9}$$

### 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.

$$\frac{2}{6}$$ $$= 33.3$$%

### Circle Area

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

28.3cm2

### 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:

4.7 + 8.4

= 13.1

### Decimals (Subtracting)

Calculate the value of:

7.2 − 1.5

= 5.7

### Decimals (Multiplying)

Calculate the value of:

7.6 × 4.7

= 35.72

### Decimals (Dividing)

Calculate the value of:

100.8 ÷ 14

= 7.2

### Indices (Simple)

What is the value of:

12

= 1

What is the value of:

3-2

= 0.111111111111111

Calculate the value of:

66 + 34

= 100

### Basic Subtraction

Calculate the value of:

92 − 25

= 67

### Basic Multiplication

Calculate the value of:

64 × 33

= 2112

### Basic Division 2

Calculate the value of:

2726 ÷ 29

= 94

### Percentage (Of)

Find the value of:

35% of 200

= 70

### Standard Form 1

Find the value of:

5.94 × 106

= 5940000

### Highest Common Factor

Find the highest common factor of twenty four and twelve.

= 12

### Times Tables (2-5)

 7 × 3 = 21 9 × 3 = 27 6 × 4 = 24 3 × 3 = 9 8 × 2 = 16 5 × 2 = 10 4 × 3 = 12 2 × 2 = 4

### Times Tables (2-12)

 4 × 2 = 8 3 × 9 = 27 8 × 5 = 40 5 × 2 = 10 7 × 2 = 14 9 × 11 = 99 6 × 4 = 24 2 × 8 = 16

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{28}{42}$$ $$= \frac{2}{3}$$

### Fractions (Mixed)

Evaluate:

$$2\frac{4}{5} − \frac{7}{8}$$ $$= 1\frac{37}{40}$$

### Pythagoras

Find AC if AB = 3.3m and BC = 4.7m. 3.35m

### Trigonometry (Angle)

Find angle BCA if AB = 5.1m and BC = 6.7m. 49.6o

### Trigonometry (Side)

Find AB if angle ABC = 65o and BC = 3.4m. 1.44m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{3}{4}$$ $$= 0.75$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.33$$ = $$\frac{33}{100}$$

### Percentage (Increase)

Increase £40 by 25%

£50

### Lowest Common Multiple

What is the lowest common multiple of fifteen and forty.

= 120

### Sequence (Arithmetic)

2,10,18,26,34...

Find the:
a) next term; 42
b) nth term; 8n - 6
c) term number 35; 274

### Sequence (Geometric)

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

Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 10; 2560

### Interest (Simple)

If £160 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £28.80

### Interest (Compound)

If £120 is invested with an interest rate of 6% compounded annually, find the value of the investment after 7 years. £180.44

### Currency Exchange

If £1 is worth $1.47, convert: a) £220 to dollars;$323.40

b) \$160 to pounds; £108.84

### Coordinates (Midpoint)

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

$$(4,6) \text{ and } (10,14)$$

(7,10)

What is the gradient of the line joining:

$$(-8,-6) \text{ and } (-5,-3)$$

1

### Coordinates (Square)

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

$$(5,4),(11,7),(2,10)$$

(8,13)

### Negative Numbers

a) 7 − 15 = -8
b) 7 × (-5) = -35
c) (10−19)(11−19) = 72
d) 35 ÷ (-5) = -7
e) (-7)2 = 49

### Substitution

If p = 6, q = 20 and
r = -6 evaluate:

a) 2q − p = 34
b) pq + r = 114
c) p2 − 5q - r = -58

### Equations (Type 1)

Solve:

$$4x = 24$$

$$x = 6$$

### Equations (Type 2)

Solve:

$$5x +4= 29$$

$$x = 5$$

### Equations (Type 3)

Solve:

$$7x -2= 5x + 14$$

$$x = 8$$

### Equations (Type 4)

Solve:

$$2(2x +6)+10= 38$$

$$x = 4$$

### Equations (Type 5)

Solve:

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

$$x = 2.25$$

### Equations (Simultaneous 1)

Solve:

$$2x+2y = 18$$
$$4x+2y = 32$$

$$x = 7, y = 2$$

### Equations (Simultaneous 2)

Solve:

$$2x-5y = 2$$
$$3x-20y = -22$$

$$x = 6, y = 2$$

### Equations (Simultaneous 3)

Solve:

$$7x-4y = -35$$
$$2x+7y = -38.5$$

$$x = -7, y = -3.5$$

### 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:

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

{4,6,8}

### Bearings

A plane flies from point A to point B on a bearing of 324o. What bearing would it return on from B to A? 144o

### Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

### BIDMAS

Evaluate:

(13 − 2)2 + 5 × 6

151

### Simplify

Simplify the following by collecting like terms:

$$3a+5b-3a+4b^2$$

$$5b+4b^2$$

### Ratio

Divide 70 in the ratio

5:2

50 and 20

### 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:

540

2 x 2 x 3 x 3 x 3 x 5

### Percentage (Reverse)

In a sale an item costs £48 after a 20% reduction. What was the original price?

£60

### Averages

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

5,3,7,5,10

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

### 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.

0.414141... $$\frac{41}{99}$$

### Percentage (Decrease)

Decrease £160 by 40%

£96

### Brackets (Linear)

Expand:

$$7(8x-5)$$

$$56x-35$$

Expand:

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

$$16x^2-4x-2$$

### Factorise (Linear)

Factorise:

$$40x-15$$

$$5(8x-3)$$

Factorise:

$$x^2-4$$

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

Factorise:

$$5x^2+11x-12$$

$$(x+3)(5x-4)$$

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

7.6 × 10-3

= 0.0076

### Standard Form 3

Write in standard form:

4090000

= 4.09 × 106

### Standard Form 4

Write in standard form:

0.0000858

= 8.58 × 10-5

Find the nth term:

$$11, 18, 29, 44, 63,$$

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

### Standard Form 5

Multiply 7 × 104
by 8 × 105 and give the answer in standard form.

= 5.6 × 1010

Solve:

$$x^2+x-20= 0$$

$$x = 4$$ and $$-5$$

Solve this equation giving the solutions to 3 significant figures:

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

$$x = 0.186$$ and $$-2.69$$

### Polygon Angles

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

140° ### Change The Subject

Make $$g$$ the subject of the formula
$$e=\frac{g}{h}+d$$

$$g=h(e-d)$$

### Basic Division 1

Calculate the value of:

5121 ÷ 9

= 569

### Number Sequences 2

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

### Square Numbers

What are the next three square numbers after
81

100, 121, 144

### Prime Numbers

What are the three largest prime numbers less than
19

17, 13, 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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