Number Sequences 1

What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13

Factors

Find all the factors of:

32

1, 2, 4, 8, 16, 32.

Multiples

Subtract the 7th from the 10th multiples of:

12

36

Polygons

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

Hexagon, Heptagon and Octagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 82.99; 83.0
b) 465174; 465000
c) 0.003795; 0.00380

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 9cm.

18cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 9cm, a height of 11cm and a top (parallel to base) of 3cm. 66cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{3} + \frac{5}{6}\) \(= 1\frac{1}{2}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{4}{6}\) \(= \frac{4}{9}\)

Fractions (Dividing)

Evaluate:

\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)

Circle (Vocabulary)

Name the red part.

Venn Diagrams

Describe the red region.

Shape Formulas

What is the formula?

Formulas (Advanced)

What is it?

Fraction to Percentage

Convert this fraction to a percentage.

\( \frac{4}{5}\) \(= 80\)%

Circle Area

Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.

3.14cm²

Circle Circumference

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

56.5cm

Decimals (Adding)

Calculate the value of:

2.9 + 2.7

= 5.6

Decimals (Subtracting)

Calculate the value of:

9.4 − 3.8

= 5.6

Decimals (Multiplying)

Calculate the value of:

3.7 × 5.5

= 20.35

Decimals (Dividing)

Calculate the value of:

52.8 ÷ 16

= 3.3

Indices (Simple)

What is the value of:

5³

= 125

Indices (Advanced)

What is the value of:

\(3^{-1}\)

\(= \frac{1}{3}\)

Basic Addition

Calculate the value of:

36 + 98

= 134

Basic Subtraction

Calculate the value of:

72 − 27

= 45

Basic Multiplication

Calculate the value of:

72 × 59

= 4248

Basic Division 2

Calculate the value of:

1674 ÷ 27

= 62

Percentage (Of)

Find the value of:

40% of 180

= 72

Standard Form 1

Find the value of:

5.43 × 10⁵

= 543000

Highest Common Factor

Find the highest common factor of twenty eight and twelve.

= 4

Times Tables (2-5)

Times Tables (2-12)

Times Tables (2)

Times Tables (3)

Times Tables (4)

Times Tables (5)

Times Tables (6)

Times Tables (7)

Times Tables (8)

Times Tables (9)

Times Tables (12)

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{27}{54}\) \(= \frac{1}{2}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{1}{2} − \frac{4}{5}\) \(= \frac{7}{10}\)

Pythagoras

Find BC if AB = 4.7m and AC = 6m. 7.62m

Trigonometry (Angle)

Find angle ABC if AC = 6m and BC = 7.1m. 57.7^o

Trigonometry (Side)

Find BC if angle BCA = 62^o and AB = 5.8m. 6.57m

Roman Numerals (1-12)

Give your answer in Roman numerals.

²

Roman Numerals (60-100)

Give your answer in Roman numerals.

²

Roman Numerals (Large)

Give your answer in Roman numerals.

²

Fraction to Decimal

Convert this fraction to a decimal.

\( \frac{3}{6}\) \(= 0.5\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.98\) = \( \frac{49}{50}\)

Percentage (Increase)

Increase £60 by 15%

£69

Lowest Common Multiple

What is the lowest common multiple of six and sixteen.

= 48

Sequence (Arithmetic)

2,7,12,17,22...

Find the:
a) next term; 27
b) n^th term; 5n - 3
c) term number 46; 227

Sequence (Geometric)

6,24,96,384,1536...

Find the:
a) next term; 6144
b) n^th term; 6 × 4^n-1
c) term number 11; 6291456

Interest (Simple)

If £240 is invested for 4 years with a simple interest rate of 5%, find the amount of interest earned. £48.00

Interest (Compound)

If £140 is invested with an interest rate of 3% compounded annually, find the value of the investment after 4 years. £157.57

Currency Exchange

If £1 is worth $1.57, convert:

a) £240 to dollars; $376.80

b) $140 to pounds; £89.17

Coordinates (Midpoint)

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

\((-7,-7) \text{ and } (3,-1)\)

(-2,-4)

Gradient

What is the gradient of the line joining:

\((-1,1) \text{ and } (2,7)\)

2

Coordinates (Square)

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

\((3,2),(6,7),(-2,5)\)

(1,10)

Negative Numbers

a) 10 − 21 = -11
b) 10 × (-12) = -120
c) (12−20)(11−23) = 96
d) 120 ÷ (-12) = -10
e) (-10)² = 100

Substitution

If p = 5, q = 27 and
r = -8 evaluate:

a) 2q − p = 49
b) pq + r = 127
c) p² − 5q - r = -102

Equations (Type 1)

Solve:

\(5x = 35\)

\(x = 7\)

Equations (Type 2)

Solve:

\(3x -2= 10\)

\(x = 4\)

Equations (Type 3)

Solve:

\(10x -5= 6x + 31\)

\(x = 9\)

Equations (Type 4)

Solve:

\(3(5x -4)+12= 45\)

\(x = 3\)

Equations (Type 5)

Solve:

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

\(x = -0.167 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x-2y = 8\)
\(2x+2y = 22\)

\(x = 5, y = 6\)

Equations (Simultaneous 2)

Solve:

\(3x-5y = -10\)
\(6x+15y = 105\)

\(x = 5, y = 5\)

Equations (Simultaneous 3)

Solve:

\(2x-5y = -20.5\)
\(3x-2y = 5\)

\(x = 6, y = 6.5\)

Sets (Union)

Find the union of:

{5,6,7,8,9,10} and
{2,6,12}

{2,5,6,7,8,9,10,12}

Sets (Intersection)

Find the intersection of:

{1,3,5,7,9} and
{2,6,12}

∅

Bearings

A plane flies from point A to point B on a bearing of 330^o. What bearing would it return on from B to A? 150^o

Probability

A number is picked at random from the set

{1,3,6,10,15}

what is the probability it is even? \(\frac25\)

BIDMAS

Evaluate:

7 + (2 × 3² − 5)

20

Simplify

Simplify the following by collecting like terms:

\(b+4c-7b+4c\)

\(8c-6b\)

Ratio

Divide 168 in the ratio

8:4

112 and 56

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=-2x-1\)

Gradient -2
y intercept -1

Prime Factors

Express the following number as the product of prime numbers:

90

2 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £42 after a 30% reduction. What was the original price?

£60

Averages

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

7,7,2,7,7

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

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.

0.878787... \(\frac{29}{33}\)

Percentage (Decrease)

Decrease £140 by 45%

£77

Brackets (Linear)

Expand:

\(2(6x-7)\)

\(12x-14\)

Brackets (Quadratic)

Expand:

\((x+1)(x-4)\)

\(x^2-3x-4\)

Factorise (Linear)

Factorise:

\(40x-25\)

\(5(8x-5)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-12\)

\((x+4)(x-3)\)

Factorise (Quadratic 2)

Factorise:

\(5x^2+16x-16\)

\((x+4)(5x-4)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

8.41 × 10^-3

= 0.00841

Standard Form 3

Write in standard form:

57700

= 5.77 × 10⁴

Standard Form 4

Write in standard form:

0.0000727

= 7.27 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(7, 15, 25, 37, 51, \)

\(n^2+5n+1\)

Standard Form 5

Multiply 7 × 10⁶
by 7 × 10³ and give the answer in standard form.

= 4.9 × 10¹⁰

Equations (Quadratic 1)

Solve:

\(x^2+x-6= 0\)

\(x = 2\) and \(-3\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(4x^2+2x-3 = 0\)

\(x = 0.651\) and \(-1.15\)

Polygon Angles

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

45°

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:

6723 ÷ 9

= 747

Number Sequences 2

What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21

Square Numbers

What are the next three square numbers after
16

25, 36, 49

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 \(x\).

Decimals (Ordering)

Write down these numbers: 7.77, 0.77, 7.07, 7, 0.7, 7.7, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,

Lengths (Ordering)

Write down these lengths: 107cm, 1.08m, 17cm, 18mm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,

Capacities (Ordering)

Write down these capacities: 173ml, 200ml, 18cl, 21cl, 17cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,

Angles with Parallels 1

g = 122

Angles with Parallels 2

i = 97