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:

43

1, 43.

Multiples

Subtract the 6th from the 10th multiples of:

7

28

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) 34.02; 34.0
b) 344759; 345000
c) 0.005495; 0.00550

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 14cm, a height of 12cm and a top (parallel to base) of 6cm. 120cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{4} + \frac{5}{7}\) \(= 1\frac{3}{14}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{3} × \frac{5}{6}\) \(= \frac{5}{9}\)

Fractions (Dividing)

Evaluate:

\( \frac{2}{4} ÷ \frac{7}{5}\) \(= \frac{5}{14}\)

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 to 3 significant figures.

\( \frac{5}{7}\) \(= 71.4\)%

Circle Area

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

28.3cm²

Circle Circumference

Find the circumference of a circle that has a radius of 11cm. Give your answer to three significant figures.

69.1cm

Decimals (Adding)

Calculate the value of:

6.6 + 2.8

= 9.4

Decimals (Subtracting)

Calculate the value of:

6.2 − 2.7

= 3.5

Decimals (Multiplying)

Calculate the value of:

9.5 × 6.5

= 61.75

Decimals (Dividing)

Calculate the value of:

112.8 ÷ 12

= 9.4

Indices (Simple)

What is the value of:

5³

= 125

Indices (Advanced)

What is the value of:

3^-2

= 0.111111111111111

Basic Addition

Calculate the value of:

48 + 36

= 84

Basic Subtraction

Calculate the value of:

93 − 27

= 66

Basic Multiplication

Calculate the value of:

23 × 65

= 1495

Basic Division 2

Calculate the value of:

816 ÷ 12

= 68

Percentage (Of)

Find the value of:

55% of 180

= 99

Standard Form 1

Find the value of:

9.02 × 10²

= 902

Highest Common Factor

Find the highest common factor of twenty four and nine.

= 3

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:

\( \frac{9}{27}\) \(= \frac{1}{3}\)

Fractions (Mixed)

Evaluate:

\( 3\frac{3}{4} − \frac{6}{7}\) \(= 2\frac{25}{28}\)

Pythagoras

Find BC if AB = 4.4m and AC = 6.2m. 7.60m

Trigonometry (Angle)

Find angle BCA if AC = 5.2m and BC = 6.8m. 40.1^o

Trigonometry (Side)

Find AC if angle ABC = 43^o and AB = 3.3m. 3.08m

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.

\( \frac{5}{9}\) \(= 0.556\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.19\) = \( \frac{19}{100}\)

Percentage (Increase)

Increase £120 by 10%

£132

Lowest Common Multiple

What is the lowest common multiple of twelve and twenty eight.

= 84

Sequence (Arithmetic)

4,11,18,25,32...

Find the:
a) next term; 39
b) n^th term; 7n - 3
c) term number 44; 305

Sequence (Geometric)

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

Find the:
a) next term; 972
b) n^th term; 4 × 3^n-1
c) term number 8; 8748

Interest (Simple)

If £200 is invested for 6 years with a simple interest rate of 2%, find the amount of interest earned. £24.00

Interest (Compound)

If £140 is invested with an interest rate of 2% compounded annually, find the value of the investment after 4 years. £151.54

Currency Exchange

If £1 is worth $1.58, convert:

a) £180 to dollars; $284.40

b) $140 to pounds; £88.61

Coordinates (Midpoint)

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

\((5,-1) \text{ and } (17,11)\)

(11,5)

Gradient

What is the gradient of the line joining:

\((-1,-3) \text{ and } (4,3)\)

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

Coordinates (Square)

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

\((1,3),(7,8),(-4,9)\)

(2,14)

Negative Numbers

a) 6 − 13 = -7
b) 6 × (-8) = -48
c) (10−16)(9−19) = 60
d) 48 ÷ (-8) = -6
e) (-5)² = 25

Substitution

If p = 6, q = 18 and
r = -11 evaluate:

a) 2q − p = 30
b) pq + r = 97
c) p² − 5q - r = -43

Equations (Type 1)

Solve:

\(5x = 35\)

\(x = 7\)

Equations (Type 2)

Solve:

\(3x -9= 15\)

\(x = 8\)

Equations (Type 3)

Solve:

\(5x -5= 2x + 19\)

\(x = 8\)

Equations (Type 4)

Solve:

\(5(5x +2)-10= 150\)

\(x = 6\)

Equations (Type 5)

Solve:

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

\(x = -1\)

Equations (Simultaneous 1)

Solve:

\(3x-5y = -13\)
\(2x-5y = -17\)

\(x = 4, y = 5\)

Equations (Simultaneous 2)

Solve:

\(4x+4y = 24\)
\(4x-16y = -36\)

\(x = 3, y = 3\)

Equations (Simultaneous 3)

Solve:

\(3x-6y = 40.5\)
\(5x-4y = 16.5\)

\(x = -3.5, y = -8.5\)

Sets (Union)

Find the union of:

{2,4,6,8,10} and
{6,7,8,9,10}

{2,4,6,7,8,9,10}

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 036^o. What bearing would it return on from B to A? 216^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:

(15 − 4)² + 2 × 6

133

Simplify

Simplify the following by collecting like terms:

\(3b+5c+8b+4c\)

\(11b+9c\)

Ratio

Divide 135 in the ratio

8:7

72 and 63

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:

24

2 x 2 x 2 x 3

Percentage (Reverse)

In a sale an item costs £18 after a 10% reduction. What was the original price?

£20

Averages

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

2,6,12,6,14

Mean = 8, mode = 6,
median = 6 and range = 12

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.

0.858585... \(\frac{85}{99}\)

Percentage (Decrease)

Decrease £140 by 15%

£119

Brackets (Linear)

Expand:

\(5(7x-4)\)

\(35x-20\)

Brackets (Quadratic)

Expand:

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

\(4x^2+4x-8\)

Factorise (Linear)

Factorise:

\(8x-24\)

\(8(x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-9\)

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

Factorise (Quadratic 2)

Factorise:

\(10x^2-x-3\)

\((2x+1)(5x-3)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

3.44 × 10^-2

= 0.0344

Standard Form 3

Write in standard form:

1570000

= 1.57 × 10⁶

Standard Form 4

Write in standard form:

0.0000764

= 7.64 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(1, 12, 27, 46, 69, \)

\(2n^2+5n-6\)

Standard Form 5

Multiply 4 × 10⁶
by 7 × 10³ and give the answer in standard form.

= 2.8 × 10¹⁰

Equations (Quadratic 1)

Solve:

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

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

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 0.732\) and \(-2.73\)

Polygon Angles

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

135°

Change The Subject

Make \(j\) the subject of the formula
$$b=\frac{3(j-4)}{c}$$

$$j=\frac{bc}{3}+4$$

Basic Division 1

Calculate the value of:

3038 ÷ 7

= 434

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

9

3

Prime Numbers

What is the 9th prime number?

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.