 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:

33

1, 3, 11, 33.

Multiples

Subtract the 7th from the 11th multiples of:

3

12

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) 92.45; 92.5
b) 630471; 630000
c) 0.009195; 0.00920

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 13cm, a height of 11cm and a top (parallel to base) of 5cm. 99cm2

Evaluate:

$$\frac{3}{4} + \frac{6}{9}$$ $$= 1\frac{5}{12}$$

Fractions (Multiplying)

Evaluate:

$$\frac{3}{5} × \frac{6}{8}$$ $$= \frac{9}{20}$$

Fractions (Dividing)

Evaluate:

$$\frac{1}{2} ÷ \frac{5}{3}$$ $$= \frac{3}{10}$$

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 2cm. Give your answer to three significant figures.

12.6cm2

Circle Circumference

Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.

37.7cm2

Calculate the value of:

7.5 + 3.8

= 11.3

Decimals (Subtracting)

Calculate the value of:

7.1 − 4.9

= 2.2

Decimals (Multiplying)

Calculate the value of:

2.5 × 4.3

= 10.75

Decimals (Dividing)

Calculate the value of:

88.2 ÷ 14

= 6.3

Indices (Simple)

What is the value of:

43

= 64

What is the value of:

2-3

= 0.125

Calculate the value of:

48 + 24

= 72

Basic Subtraction

Calculate the value of:

84 − 26

= 58

Basic Multiplication

Calculate the value of:

75 × 88

= 6600

Basic Division 2

Calculate the value of:

728 ÷ 14

= 52

Percentage (Of)

Find the value of:

20% of 300

= 60

Standard Form 1

Find the value of:

2.05 × 106

= 2050000

Highest Common Factor

Find the highest common factor of eighteen and four.

= 2

Times Tables (2-5)

 6 × 5 = 30 5 × 2 = 10 4 × 5 = 20 7 × 2 = 14 3 × 5 = 15 9 × 4 = 36 8 × 4 = 32 2 × 2 = 4

Times Tables (2-12)

 7 × 10 = 70 4 × 7 = 28 3 × 10 = 30 8 × 4 = 32 9 × 4 = 36 6 × 4 = 24 5 × 11 = 55 2 × 11 = 22

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{21}{42}$$ $$= \frac{1}{2}$$

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find BC if AB = 3.2m and AC = 4.2m. 5.28m

Trigonometry (Angle)

Find angle BCA if AC = 4.4m and BC = 6m. 42.8o

Trigonometry (Side)

Find BC if angle BCA = 24o and AC = 4.3m. 4.71m

2

2

2

Fraction to Decimal

Convert this fraction to a decimal.

$$\frac{4}{8}$$ $$= 0.5$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.57$$ = $$\frac{57}{100}$$

Percentage (Increase)

Increase £140 by 35%

£189

Lowest Common Multiple

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

= 24

Sequence (Arithmetic)

5,14,23,32,41...

Find the:
a) next term; 50
b) nth term; 9n - 4
c) term number 56; 500

Sequence (Geometric)

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

Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 11; 5120

Interest (Simple)

If £140 is invested for 7 years with a simple interest rate of 5%, find the amount of interest earned. £49.00

Interest (Compound)

If £220 is invested with an interest rate of 2% compounded annually, find the value of the investment after 7 years. £252.71

Currency Exchange

If £1 is worth $1.43, convert: a) £240 to dollars;$343.20

b) \$140 to pounds; £167.83

Coordinates (Midpoint)

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

$$(8,-7) \text{ and } (16,3)$$

(12,-2)

What is the gradient of the line joining:

$$(-4,-5) \text{ and } (1,-2)$$

$$\frac{3}{5}$$

Coordinates (Square)

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

$$(5,3),(10,8),(0,8)$$

(5,13)

Negative Numbers

a) 9 − 20 = -11
b) 9 × (-5) = -45
c) (10−16)(10−15) = 30
d) 45 ÷ (-5) = -9
e) (-8)2 = 64

Substitution

If p = 5, q = 25 and
r = -12 evaluate:

a) 2q − p = 45
b) pq + r = 113
c) p2 − 5q - r = -88

Equations (Type 1)

Solve:

$$2x = 16$$

$$x = 8$$

Equations (Type 2)

Solve:

$$3x +4= 25$$

$$x = 7$$

Equations (Type 3)

Solve:

$$5x +5= 2x + 14$$

$$x = 3$$

Equations (Type 4)

Solve:

$$3(4x +6)+10= 64$$

$$x = 3$$

Equations (Type 5)

Solve:

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

$$x = -5.5$$

Equations (Simultaneous 1)

Solve:

$$2x-2y = -8$$
$$4x-2y = -2$$

$$x = 3, y = 7$$

Equations (Simultaneous 2)

Solve:

$$3x+5y = 30$$
$$4x-20y = -40$$

$$x = 5, y = 3$$

Equations (Simultaneous 3)

Solve:

$$4x+6y = 87$$
$$7x+5y = 105.5$$

$$x = 9, y = 8.5$$

Sets (Union)

Find the union of:

{5,6,7,8,9,10} and
{1,3,6,10,15}

{1,3,5,6,7,8,9,10,15}

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 122o. What bearing would it return on from B to A? 302o

Probability

A number is picked at random from the set

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

what is the probability it is even? $$\frac12$$

Evaluate:

52 − 6 × 2 + 6

19

Simplify

Simplify the following by collecting like terms:

$$7d−3e−5d+7e$$

$$4e+2d$$

Ratio

Divide 24 in the ratio

1:2

8 and 16

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:

24

2 x 2 x 2 x 3

Percentage (Reverse)

In a sale an item costs £28 after a 30% reduction. What was the original price?

£40

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.

0.959595... $$\frac{95}{99}$$

Percentage (Decrease)

Decrease £160 by 5%

£152

Brackets (Linear)

Expand:

$$6(4x-9)$$

$$24x-54$$

Expand:

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

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

Factorise (Linear)

Factorise:

$$18x-27$$

$$9(2x-3)$$

Factorise:

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

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

Factorise:

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

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

Circle Theorems

Which theorem?  Standard Form 2

Find the value of:

4.63 × 10-2

= 0.0463

Standard Form 3

Write in standard form:

498

= 4.98 × 102

Standard Form 4

Write in standard form:

0.0000355

= 3.55 × 10-5

Find the nth term:

$$13, 25, 41, 61, 85,$$

$$2n^2+6n+5$$

Standard Form 5

Multiply 7 × 103
by 9 × 105 and give the answer in standard form.

= 6.3 × 109

Solve:

$$x^2+3x-10= 0$$

$$x = 2$$ and $$-5$$

Solve this equation giving the solutions to 3 significant figures:

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

$$x = 1.19$$ and $$-1.69$$

Polygon Angles

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

72° Change The Subject

Make $$h$$ the subject of the formula
$$e=\frac{h}{4}-5$$

$$h=4(e+5)$$

Basic Division 1

Calculate the value of:

2527 ÷ 7

= 361

Number Sequences 2

What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89

Square Numbers

What are the three largest square numbers less than
121

100, 81, 64

Prime Numbers

What are the next three prime numbers after
17

19, 23, 29

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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