Number Sequences 1

What is the 10th:
a) Odd number; 19
b) Square number; 100
c) Prime number. 29

Factors

Find all the factors of:

48

1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Multiples

Subtract the 6th from the 10th multiples of:

4

16

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) 48.42; 48.4
b) 663674; 664000
c) 0.001595; 0.00160

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 9cm.

27cm²

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 5cm. 80cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{6}{7}\) \(= 1\frac{17}{28}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{4} × \frac{6}{8}\) \(= \frac{3}{8}\)

Fractions (Dividing)

Evaluate:

\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)

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.

\( \frac{4}{8}\) \(= 50\)%

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 2cm. Give your answer to three significant figures.

12.6cm²

Decimals (Adding)

Calculate the value of:

9.6 + 7.7

= 17.3

Decimals (Subtracting)

Calculate the value of:

5.3 − 4.8

= 0.5

Decimals (Multiplying)

Calculate the value of:

2.6 × 2.4

= 6.24

Decimals (Dividing)

Calculate the value of:

82.6 ÷ 14

= 5.9

Indices (Simple)

What is the value of:

4³

= 64

Indices (Advanced)

What is the value of:

4^-2

= 0.0625

Basic Addition

Calculate the value of:

95 + 36

= 131

Basic Subtraction

Calculate the value of:

61 − 26

= 35

Basic Multiplication

Calculate the value of:

96 × 45

= 4320

Basic Division 2

Calculate the value of:

2378 ÷ 29

= 82

Percentage (Of)

Find the value of:

50% of 60

= 30

Standard Form 1

Find the value of:

5.16 × 10²

= 516

Highest Common Factor

Find the highest common factor of twenty four and twelve.

= 12

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:

\( \frac{20}{24}\) \(= \frac{5}{6}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{3}{4} − \frac{5}{6}\) \(= 1\frac{11}{12}\)

Pythagoras

Find AB if AC = 3.5m and BC = 5.5m. 4.24m

Trigonometry (Angle)

Find angle BCA if AB = 3.4m and AC = 5.2m. 33.2^o

Trigonometry (Side)

Find BC if angle BCA = 21^o and AC = 4.6m. 4.93m

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 to 3 significant figures.

\( \frac{1}{6}\) \(= 0.167\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.31\) = \( \frac{31}{100}\)

Percentage (Increase)

Increase £180 by 35%

£243

Lowest Common Multiple

What is the lowest common multiple of twenty and twenty five.

= 100

Sequence (Arithmetic)

4,10,16,22,28...

Find the:
a) next term; 34
b) n^th term; 6n - 2
c) term number 37; 220

Sequence (Geometric)

4,12,36,108,324...

Find the:
a) next term; 972
b) n^th term; 4 × 3^n-1
c) term number 12; 708588

Interest (Simple)

If £240 is invested for 5 years with a simple interest rate of 2%, find the amount of interest earned. £24.00

Interest (Compound)

If £120 is invested with an interest rate of 3% compounded annually, find the value of the investment after 6 years. £143.29

Currency Exchange

If £1 is worth $1.43, convert:

a) £200 to dollars; $286.00

b) $140 to pounds; £139.86

Coordinates (Midpoint)

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

\((-7,5) \text{ and } (3,17)\)

(-2,11)

Gradient

What is the gradient of the line joining:

\((8,2) \text{ and } (14,7)\)

\(\frac{5}{6}\)

Coordinates (Square)

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

\((1,3),(4,7),(-3,6)\)

(0,10)

Negative Numbers

a) 6 − 11 = -5
b) 6 × (-10) = -60
c) (7−16)(5−10) = 45
d) 60 ÷ (-10) = -6
e) (-9)² = 81

Substitution

If p = 5, q = 16 and
r = -5 evaluate:

a) 2q − p = 27
b) pq + r = 75
c) p² − 5q - r = -50

Equations (Type 1)

Solve:

\(5x = 35\)

\(x = 7\)

Equations (Type 2)

Solve:

\(2x -3= 15\)

\(x = 9\)

Equations (Type 3)

Solve:

\(11x +2= 6x + 47\)

\(x = 9\)

Equations (Type 4)

Solve:

\(3(5x +3)+7= 151\)

\(x = 9\)

Equations (Type 5)

Solve:

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

\(x = 0.222 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x-2y = 12\)
\(2x-2y = 0\)

\(x = 6, y = 6\)

Equations (Simultaneous 2)

Solve:

\(4x-5y = 13\)
\(3x-20y = -39\)

\(x = 7, y = 3\)

Equations (Simultaneous 3)

Solve:

\(2x-7y = -50\)
\(6x+5y = -20\)

\(x = -7.5, y = 5\)

Sets (Union)

Find the union of:

{1,2,3,4,5} and
{6,7,8,9,10}

{1,2,3,4,5,6,7,8,9,10}

Sets (Intersection)

Find the intersection of:

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

{6,10}

Bearings

A plane flies from point A to point B on a bearing of 153^o. What bearing would it return on from B to A? 333^o

Probability

A number is picked at random from the set

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

what is the probability it is even? \(\frac12\)

BIDMAS

Evaluate:

7 + (9 × 3² − 3)

85

Simplify

Simplify the following by collecting like terms:

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

\(8c-6b\)

Ratio

Divide 143 in the ratio

7:4

91 and 52

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=-2x+2\)

Gradient -2
y intercept 2

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 £84 after a 40% reduction. What was the original price?

£140

Averages

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

5,6,7,8,9,10

Mean = 7.5, no mode,
median = 7.5 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.

0.747474... \(\frac{74}{99}\)

Percentage (Decrease)

Decrease £100 by 45%

£55

Brackets (Linear)

Expand:

\(8(9x-6)\)

\(72x-48\)

Brackets (Quadratic)

Expand:

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

\(4x^2+15x-4\)

Factorise (Linear)

Factorise:

\(18x-6\)

\(6(3x-1)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-12\)

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

Factorise (Quadratic 2)

Factorise:

\(2x^2+7x-4\)

\((x+4)(2x-1)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

7.03 × 10^-4

= 0.000703

Standard Form 3

Write in standard form:

43400

= 4.34 × 10⁴

Standard Form 4

Write in standard form:

0.00223

= 2.23 × 10^-3

Sequence (Quadratic)

Find the n^th term:

\(12, 25, 44, 69, 100, \)

\(3n^2+4n+5\)

Standard Form 5

Multiply 9 × 10⁵
by 8 × 10³ and give the answer in standard form.

= 7.2 × 10⁹

Equations (Quadratic 1)

Solve:

\(x^2-x-20= 0\)

\(x = 5\) and \(-4\)

Equations (Quadratic 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 interior angle of a regular nonagon?

140°

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:

3536 ÷ 8

= 442

Number Sequences 2

What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13

Square Numbers

What is the square root of

1

1

Prime Numbers

What is the 7th prime number?

17

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.