# ### Number Sequences 1

What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11

### Factors

Find all the factors of:

23

1, 23.

### Multiples

Subtract the 5th from the 10th multiples of:

12

60

### Polygons

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

Square, Pentagon and Hexagon (all regular)

### Rounding

Round the following numbers to three significant figures:
a) 41.98; 42.0
b) 329324; 329000
c) 0.003395; 0.00340

### Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 11cm.

38.5cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 16cm, a height of 8cm and a top (parallel to base) of 6cm. 88cm2

Evaluate:

$$\frac{1}{3} + \frac{4}{7}$$ $$= \frac{19}{21}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{2}{3} × \frac{4}{5}$$ $$= \frac{8}{15}$$

### Fractions (Dividing)

Evaluate:

$$\frac{2}{3} ÷ \frac{6}{5}$$ $$= \frac{5}{9}$$

### 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.

$$\frac{4}{8}$$ $$= 50$$%

### Circle Area

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

254cm2

### Circle Circumference

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

18.8cm

Calculate the value of:

9.8 + 6.6

= 16.4

### Decimals (Subtracting)

Calculate the value of:

6.3 − 3.7

= 2.6

### Decimals (Multiplying)

Calculate the value of:

4.2 × 2.4

= 10.08

### Decimals (Dividing)

Calculate the value of:

68.9 ÷ 13

= 5.3

### Indices (Simple)

What is the value of:

33

= 27

What is the value of:

5-2

= 0.04

Calculate the value of:

69 + 87

= 156

### Basic Subtraction

Calculate the value of:

72 − 28

= 44

### Basic Multiplication

Calculate the value of:

26 × 86

= 2236

### Basic Division 2

Calculate the value of:

1914 ÷ 22

= 87

### Percentage (Of)

Find the value of:

30% of 100

= 30

### Standard Form 1

Find the value of:

7.4 × 104

= 74000

### Highest Common Factor

Find the highest common factor of twenty eight and twenty.

= 4

### Times Tables (2-5)

 3 × 3 = 9 4 × 4 = 16 6 × 5 = 30 8 × 3 = 24 9 × 2 = 18 7 × 2 = 14 5 × 3 = 15 2 × 4 = 8

### Times Tables (2-12)

 8 × 10 = 80 9 × 5 = 45 3 × 2 = 6 7 × 3 = 21 4 × 9 = 36 6 × 10 = 60 5 × 3 = 15 2 × 5 = 10

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{8}{12}$$ $$= \frac{2}{3}$$

### Fractions (Mixed)

Evaluate:

$$3\frac{3}{4} − \frac{5}{6}$$ $$= 2\frac{11}{12}$$

### Pythagoras

Find BC if AB = 4.1m and AC = 5.6m. 6.94m

### Trigonometry (Angle)

Find angle ABC if AC = 3.9m and BC = 5.5m. 45.2o

### Trigonometry (Side)

Find BC if angle BCA = 45o and AB = 3.6m. 5.09m

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.

$$0.36$$ = $$\frac{9}{25}$$

### Percentage (Increase)

Increase £100 by 35%

£135

### Lowest Common Multiple

What is the lowest common multiple of eight and thirty two.

= 32

### Sequence (Arithmetic)

6,17,28,39,50...

Find the:
a) next term; 61
b) nth term; 11n - 5
c) term number 39; 424

### 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 £240 is invested for 8 years with a simple interest rate of 2%, find the amount of interest earned. £38.40

### Interest (Compound)

If £200 is invested with an interest rate of 1% compounded annually, find the value of the investment after 8 years. £216.57

### Currency Exchange

If £1 is worth $1.48, convert: a) £120 to dollars;$177.60

b) \$240 to pounds; £162.16

### Coordinates (Midpoint)

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

$$(7,-3) \text{ and } (15,3)$$

(11,0)

What is the gradient of the line joining:

$$(-7,-8) \text{ and } (-4,-4)$$

$$\frac{4}{3}$$

### Coordinates (Square)

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

$$(5,3),(8,7),(1,6)$$

(4,10)

### Negative Numbers

a) 11 − 16 = -5
b) 11 × (-10) = -110
c) (7−12)(8−16) = 40
d) 110 ÷ (-10) = -11
e) (-12)2 = 144

### Substitution

If p = 5, q = 21 and
r = -9 evaluate:

a) 2q − p = 37
b) pq + r = 96
c) p2 − 5q - r = -71

### Equations (Type 1)

Solve:

$$2x = 6$$

$$x = 3$$

### Equations (Type 2)

Solve:

$$5x +2= 12$$

$$x = 2$$

### Equations (Type 3)

Solve:

$$10x -2= 6x + 6$$

$$x = 2$$

### Equations (Type 4)

Solve:

$$5(2x -6)+7= 7$$

$$x = 3$$

### Equations (Type 5)

Solve:

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

$$x = -0.75$$

### Equations (Simultaneous 1)

Solve:

$$5x+5y = 45$$
$$4x-5y = 0$$

$$x = 5, y = 4$$

### Equations (Simultaneous 2)

Solve:

$$4x+5y = 38$$
$$5x-10y = -50$$

$$x = 2, y = 6$$

### Equations (Simultaneous 3)

Solve:

$$2x+7y = 4.5$$
$$5x-3y = 42$$

$$x = 7.5, y = -1.5$$

### Sets (Union)

Find the union of:

{5,6,7,8,9,10} and
{2,3,5,7,11,13}

{2,3,5,6,7,8,9,10,11,13}

### Sets (Intersection)

Find the intersection of:

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

{6,7,8}

### Bearings

A plane flies from point A to point B on a bearing of 262o. What bearing would it return on from B to A? 082o

### Probability

A number is picked at random from the set

{1,3,6,10,15}

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

Evaluate:

63 ÷ 7 × 42 ÷ 6

63

### Simplify

Simplify the following by collecting like terms:

$$7d−3e−5d+7e$$

$$4e+2d$$

### Ratio

Divide 192 in the ratio

7:9

84 and 108

### Graph (Linear)

Draw a rough sketch of the graph of:

$$y=-2x$$

y intercept 0

### Prime Factors

Express the following number as the product of prime numbers:

108

2 x 2 x 3 x 3 x 3

### Percentage (Reverse)

In a sale an item costs £136 after a 15% reduction. What was the original price?

£160

### 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.

0.686868... $$\frac{68}{99}$$

### Percentage (Decrease)

Decrease £120 by 10%

£108

### Brackets (Linear)

Expand:

$$8(7x-2)$$

$$56x-16$$

Expand:

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

$$6x^2+8x-8$$

### Factorise (Linear)

Factorise:

$$20x-25$$

$$5(4x-5)$$

Factorise:

$$x^2-2x-8$$

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

Factorise:

$$x^2+2x-8$$

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

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

3.94 × 10-3

= 0.00394

### Standard Form 3

Write in standard form:

11300

= 1.13 × 104

### Standard Form 4

Write in standard form:

0.000995

= 9.95 × 10-4

Find the nth term:

$$-5, 5, 21, 43, 71,$$

$$3n^2+n-9$$

### Standard Form 5

Multiply 7 × 102
by 4 × 103 and give the answer in standard form.

= 2.8 × 106

Solve:

$$x^2+2x-15= 0$$

$$x = 3$$ and $$-5$$

Solve this equation giving the solutions to 3 significant figures:

$$2x^2+4x-3 = 0$$

$$x = 0.581$$ and $$-2.58$$

### Polygon Angles

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

45° ### Change The Subject

Make $$f$$ the subject of the formula
$$h=g(e-f)$$

$$f=e-\frac{h}{g}$$

### Basic Division 1

Calculate the value of:

2463 ÷ 3

= 821

### 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

2

4

### Prime Numbers

What are the next three prime numbers after
13

17, 19, 23

### 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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