# ### 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:

47

1, 47.

### Multiples

Subtract the 4th from the 8th multiples of:

11

44

### 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) 89.81; 89.8
b) 307025; 307000
c) 0.006795; 0.00680

### Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 11cm.

33cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 15cm, a height of 8cm and a top (parallel to base) of 7cm. 88cm2

Evaluate:

$$\frac{3}{4} + \frac{7}{8}$$ $$= 1\frac{5}{8}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{1}{2} × \frac{4}{5}$$ $$= \frac{2}{5}$$

### Fractions (Dividing)

Evaluate:

$$\frac{2}{4} ÷ \frac{6}{5}$$ $$= \frac{5}{12}$$

### 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.

$$\frac{1}{6}$$ $$= 16.7$$%

### Circle Area

Find the area of a circle that has a radius of 5cm. Give your answer to three significant figures.

78.5cm2

### Circle Circumference

Find the circumference of a circle that has a radius of 5cm. Give your answer to three significant figures.

31.4cm

Calculate the value of:

3.7 + 2.9

= 6.6

### Decimals (Subtracting)

Calculate the value of:

6.1 − 1.5

= 4.6

### Decimals (Multiplying)

Calculate the value of:

4.6 × 9.7

= 44.62

### Decimals (Dividing)

Calculate the value of:

118.8 ÷ 12

= 9.9

### Indices (Simple)

What is the value of:

42

= 16

What is the value of:

4-2

= 0.0625

Calculate the value of:

25 + 66

= 91

### Basic Subtraction

Calculate the value of:

91 − 25

= 66

### Basic Multiplication

Calculate the value of:

95 × 52

= 4940

### Basic Division 2

Calculate the value of:

1558 ÷ 19

= 82

### Percentage (Of)

Find the value of:

95% of 380

= 361

### Standard Form 1

Find the value of:

9.54 × 102

= 954

### Highest Common Factor

Find the highest common factor of thirty and twenty.

= 10

### Times Tables (2-5)

 3 × 4 = 12 8 × 4 = 32 4 × 3 = 12 9 × 3 = 27 7 × 4 = 28 6 × 4 = 24 5 × 4 = 20 2 × 3 = 6

### Times Tables (2-12)

 9 × 4 = 36 7 × 2 = 14 5 × 9 = 45 3 × 2 = 6 8 × 6 = 48 6 × 10 = 60 4 × 12 = 48 2 × 4 = 8

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{7}{28}$$ $$= \frac{1}{4}$$

### Fractions (Mixed)

Evaluate:

$$1\frac{4}{5} − \frac{6}{7}$$ $$= \frac{33}{35}$$

### Pythagoras

Find BC if AB = 4.9m and AC = 6.6m. 8.22m

### Trigonometry (Angle)

Find angle ABC if AB = 3.6m and BC = 5.6m. 50.0o

### Trigonometry (Side)

Find AC if angle BCA = 43o and AB = 4.7m. 5.04m

2

2

2

### Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{4}{6}$$ $$= 0.667$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.15$$ = $$\frac{3}{20}$$

### Percentage (Increase)

Increase £60 by 45%

£87

### Lowest Common Multiple

What is the lowest common multiple of sixteen and twenty four.

= 48

### Sequence (Arithmetic)

2,11,20,29,38...

Find the:
a) next term; 47
b) nth term; 9n - 7
c) term number 30; 263

### Sequence (Geometric)

6,18,54,162,486...

Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 12; 1062882

### Interest (Simple)

If £220 is invested for 8 years with a simple interest rate of 1%, find the amount of interest earned. £17.60

### Interest (Compound)

If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 5 years. £255.26

### Currency Exchange

If £1 is worth $1.52, convert: a) £240 to dollars;$364.80

b) \$220 to pounds; £144.74

### Coordinates (Midpoint)

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

$$(7,4) \text{ and } (15,16)$$

(11,10)

What is the gradient of the line joining:

$$(0,-6) \text{ and } (6,0)$$

1

### Coordinates (Square)

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

$$(5,4),(9,8),(1,8)$$

(5,12)

### Negative Numbers

a) 11 − 17 = -6
b) 11 × (-10) = -110
c) (6−18)(6−14) = 96
d) 110 ÷ (-10) = -11
e) (-11)2 = 121

### Substitution

If p = 6, q = 23 and
r = -5 evaluate:

a) 2q − p = 40
b) pq + r = 133
c) p2 − 5q - r = -74

### Equations (Type 1)

Solve:

$$4x = 20$$

$$x = 5$$

### Equations (Type 2)

Solve:

$$4x +4= 32$$

$$x = 7$$

### Equations (Type 3)

Solve:

$$5x +2= 2x + 23$$

$$x = 7$$

### Equations (Type 4)

Solve:

$$3(2x +2)-6= 24$$

$$x = 4$$

### Equations (Type 5)

Solve:

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

$$x = -0.8$$

### Equations (Simultaneous 1)

Solve:

$$4x-5y = -5$$
$$3x-5y = -10$$

$$x = 5, y = 5$$

### Equations (Simultaneous 2)

Solve:

$$3x-2y = 1$$
$$7x-8y = -11$$

$$x = 3, y = 4$$

### Equations (Simultaneous 3)

Solve:

$$3x+5y = -37.5$$
$$5x+3y = -30.5$$

$$x = -2.5, y = -6$$

### Sets (Union)

Find the union of:

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

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

### Sets (Intersection)

Find the intersection of:

{5,6,7,8,9,10} and
{3,6,9,12,15}

{6,9}

### Bearings

A plane flies from point A to point B on a bearing of 101o. What bearing would it return on from B to A? 281o

### Probability

A number is picked at random from the set

{1,3,5,7,9}

what is the probability it is even? 0

Evaluate:

8 + (6 × 62 − 4)

220

### Simplify

Simplify the following by collecting like terms:

$$3y+2w+7y$$

$$10y+2w$$

### Ratio

Divide 169 in the ratio

7:6

91 and 78

### Graph (Linear)

Draw a rough sketch of the graph of:

$$y=x$$

y intercept 0

### Prime Factors

Express the following number as the product of prime numbers:

54

2 x 3 x 3 x 3

### Percentage (Reverse)

In a sale an item costs £17 after a 15% reduction. What was the original price?

£20

### Averages

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

2,4,6,8,10

Mean = 6, no mode,
median = 6 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.

0.323232... $$\frac{32}{99}$$

### Percentage (Decrease)

Decrease £160 by 20%

£128

### Brackets (Linear)

Expand:

$$8(9x-4)$$

$$72x-32$$

Expand:

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

$$12x^2+x-1$$

### Factorise (Linear)

Factorise:

$$21x-28$$

$$7(3x-4)$$

Factorise:

$$x^2-x-12$$

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

Factorise:

$$5x^2+x-4$$

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

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

5.15 × 10-5

= 0.0000515

### Standard Form 3

Write in standard form:

87400

= 8.74 × 104

### Standard Form 4

Write in standard form:

0.000399

= 3.99 × 10-4

Find the nth term:

$$16, 28, 44, 64, 88,$$

$$2n^2+6n+8$$

### Standard Form 5

Multiply 9 × 106
by 4 × 104 and give the answer in standard form.

= 3.6 × 1011

Solve:

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

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

Solve this equation giving the solutions to 3 significant figures:

$$2x^2-4x-1 = 0$$

$$x = 2.22$$ and $$-0.225$$

### Polygon Angles

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

40° ### Change The Subject

Make $$a$$ the subject of the formula
$$b=2a-3$$

$$a=\frac{b+3}{2}$$

### Basic Division 1

Calculate the value of:

5649 ÷ 7

= 807

### 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

10

100

### Prime Numbers

What are the three largest prime numbers less than
17

13, 11, 7

### 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 $$x$$.  ## A Mathematics Lesson Starter Of The Day

• Jan, South Canterbury
•
• Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you.
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•
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