# ### Number Sequences 1

What is the 8th:
a) Odd number; 15
b) Square number; 64
c) Prime number. 19

### Factors

Find all the factors of:

23

1, 23.

### Multiples

Subtract the 4th from the 8th 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) 94.08; 94.1
b) 211146; 211000
c) 0.003495; 0.00350

### Area of a Triangle

Find the area of a triangle that has a base of 3cm and a height of 7cm.

10.5cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 13cm, a height of 12cm and a top (parallel to base) of 3cm. 96cm2

Evaluate:

$$\frac{2}{4} + \frac{5}{8}$$ $$= 1\frac{1}{8}$$

### Fractions (Multiplying)

Evaluate:

$$\frac{1}{3} × \frac{5}{6}$$ $$= \frac{5}{18}$$

### Fractions (Dividing)

Evaluate:

$$\frac{1}{3} ÷ \frac{7}{5}$$ $$= \frac{5}{21}$$

### 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.

$$\frac{2}{4}$$ $$= 50$$%

### Circle Area

Find the area of a circle that has a radius of 8cm. Give your answer to three significant figures.

201cm2

### Circle Circumference

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

18.8cm2

Calculate the value of:

9.9 + 5.5

= 15.4

### Decimals (Subtracting)

Calculate the value of:

7.3 − 3.6

= 3.7

### Decimals (Multiplying)

Calculate the value of:

3.9 × 6.6

= 25.74

### Decimals (Dividing)

Calculate the value of:

106.4 ÷ 14

= 7.6

### Indices (Simple)

What is the value of:

43

= 64

What is the value of:

5-3

= 0.008

Calculate the value of:

75 + 59

= 134

### Basic Subtraction

Calculate the value of:

61 − 28

= 33

### Basic Multiplication

Calculate the value of:

84 × 72

= 6048

### Basic Division 2

Calculate the value of:

1914 ÷ 29

= 66

### Percentage (Of)

Find the value of:

15% of 160

= 24

### Standard Form 1

Find the value of:

9.38 × 103

= 9380

### Highest Common Factor

Find the highest common factor of thirty five and ten.

= 5

### Times Tables (2-5)

 8 × 3 = 24 9 × 4 = 36 6 × 3 = 18 5 × 2 = 10 4 × 5 = 20 3 × 3 = 9 7 × 2 = 14 2 × 5 = 10

### Times Tables (2-12)

 5 × 6 = 30 3 × 12 = 36 7 × 12 = 84 9 × 4 = 36 4 × 4 = 16 6 × 5 = 30 8 × 11 = 88 2 × 7 = 14

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{6}{12}$$ $$= \frac{1}{2}$$

### Fractions (Mixed)

Evaluate:

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

### Pythagoras

Find BC if AB = 3.4m and AC = 4.4m. 5.56m

### Trigonometry (Angle)

Find angle BCA if AB = 6m and AC = 7.3m. 39.4o

### Trigonometry (Side)

Find AC if angle ABC = 64o and BC = 4.7m. 4.22m

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.

$$0.53$$ = $$\frac{53}{100}$$

### Percentage (Increase)

Increase £60 by 25%

£75

### Lowest Common Multiple

What is the lowest common multiple of ten and thirty.

= 30

### Sequence (Arithmetic)

7,19,31,43,55...

Find the:
a) next term; 67
b) nth term; 12n - 5
c) term number 29; 343

### Sequence (Geometric)

7,28,112,448,1792...

Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 11; 7340032

### Interest (Simple)

If £240 is invested for 4 years with a simple interest rate of 4%, find the amount of interest earned. £38.40

### Interest (Compound)

If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 6 years. £227.76

### Currency Exchange

If £1 is worth $1.58, convert: a) £140 to dollars;$221.20

b) \$160 to pounds; £101.27

### Coordinates (Midpoint)

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

$$(-1,-1) \text{ and } (9,7)$$

(4,3)

What is the gradient of the line joining:

$$(6,0) \text{ and } (9,3)$$

1

### Coordinates (Square)

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

$$(4,3),(8,6),(1,7)$$

(5,10)

### Negative Numbers

a) 7 − 17 = -10
b) 7 × (-11) = -77
c) (6−15)(10−15) = 45
d) 77 ÷ (-11) = -7
e) (-10)2 = 100

### 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:

$$3x = 27$$

$$x = 9$$

### Equations (Type 2)

Solve:

$$5x -5= 30$$

$$x = 7$$

### Equations (Type 3)

Solve:

$$9x -4= 6x + 8$$

$$x = 4$$

### Equations (Type 4)

Solve:

$$4(3x -5)+6= 94$$

$$x = 9$$

### Equations (Type 5)

Solve:

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

$$x = -6$$

### Equations (Simultaneous 1)

Solve:

$$2x-5y = -6$$
$$5x-5y = 0$$

$$x = 2, y = 2$$

### Equations (Simultaneous 2)

Solve:

$$2x+5y = 42$$
$$5x+20y = 150$$

$$x = 6, y = 6$$

### Equations (Simultaneous 3)

Solve:

$$2x-7y = 31$$
$$7x+4y = 51.5$$

$$x = 8.5, y = -2$$

### 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
{2,6,12}

{6}

### Bearings

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

### Probability

A number is picked at random from the set

{2,3,5,7,11,13}

what is the probability it is even? $$\frac16$$

Evaluate:

9 + (5 × 92 − 5)

409

### Simplify

Simplify the following by collecting like terms:

$$7d−3e−5d+7e$$

$$4e+2d$$

### Ratio

Divide 121 in the ratio

4:7

44 and 77

### Graph (Linear)

Draw a rough sketch of the graph of:

$$2y=x$$

y intercept 0

### Prime Factors

Express the following number as the product of prime numbers:

36

2 x 2 x 3 x 3

### Percentage (Reverse)

In a sale an item costs £48 after a 40% reduction. What was the original price?

£80

### 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.

0.525252... $$\frac{52}{99}$$

### Percentage (Decrease)

Decrease £180 by 25%

£135

### Brackets (Linear)

Expand:

$$6(5x-3)$$

$$30x-18$$

Expand:

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

$$6x^2+3x-9$$

### Factorise (Linear)

Factorise:

$$6x-12$$

$$6(x-2)$$

Factorise:

$$x^2-x-6$$

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

Factorise:

$$12x^2-5x-2$$

$$(4x+1)(3x-2)$$

### Circle Theorems

Which theorem?  ### Standard Form 2

Find the value of:

6.87 × 10-3

= 0.00687

### Standard Form 3

Write in standard form:

6050

= 6.05 × 103

### Standard Form 4

Write in standard form:

0.0598

= 5.98 × 10-2

Find the nth term:

$$8, 17, 30, 47, 68,$$

$$2n^2+3n+3$$

### Standard Form 5

Multiply 6 × 103
by 9 × 105 and give the answer in standard form.

= 5.4 × 109

Solve:

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

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

Solve this equation giving the solutions to 3 significant figures:

$$4x^2+5x-2 = 0$$

$$x = 0.319$$ and $$-1.57$$

### 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:

1604 ÷ 2

= 802

### 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

5

25

### Prime Numbers

What are the three largest prime numbers less than
11

7, 5, 3

### 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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