Number Sequences 1

What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17

Factors

Find all the factors of:

49

1, 7, 49.

Multiples

Subtract the 7th from the 12th multiples of:

12

60

Polygons

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

Pentagon, Hexagon and Heptagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 35.48; 35.5
b) 749734; 750000
c) 0.002495; 0.00250

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 7cm.

14cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 12cm, a height of 9cm and a top (parallel to base) of 4cm. 72cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{3} + \frac{6}{7}\) \(= 1\frac{11}{21}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{1}{3} ÷ \frac{6}{5}\) \(= \frac{5}{18}\)

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.

\( \frac{5}{10}\) \(= 50\)%

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 12cm. Give your answer to three significant figures.

75.4cm²

Decimals (Adding)

Calculate the value of:

6.7 + 4.4

= 11.1

Decimals (Subtracting)

Calculate the value of:

9.2 − 2.6

= 6.6

Decimals (Multiplying)

Calculate the value of:

6.6 × 7.6

= 50.16

Decimals (Dividing)

Calculate the value of:

117 ÷ 18

= 6.5

Indices (Simple)

What is the value of:

4³

= 64

Indices (Advanced)

What is the value of:

1^-2

= 1

Basic Addition

Calculate the value of:

67 + 37

= 104

Basic Subtraction

Calculate the value of:

72 − 28

= 44

Basic Multiplication

Calculate the value of:

39 × 36

= 1404

Basic Division 2

Calculate the value of:

756 ÷ 12

= 63

Percentage (Of)

Find the value of:

85% of 140

= 119

Standard Form 1

Find the value of:

9.52 × 10²

= 952

Highest Common Factor

Find the highest common factor of forty five and twenty five.

= 5

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:

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

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find AB if AC = 3.7m and BC = 5.6m. 4.20m

Trigonometry (Angle)

Find angle ABC if AC = 5.3m and AB = 6.6m. 38.8^o

Trigonometry (Side)

Find AC if angle ABC = 37^o and AB = 4.9m. 3.69m

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.

\( \frac{2}{7}\) \(= 0.286\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.41\) = \( \frac{41}{100}\)

Percentage (Increase)

Increase £140 by 5%

£147

Lowest Common Multiple

What is the lowest common multiple of twelve and eighteen.

= 36

Sequence (Arithmetic)

7,17,27,37,47...

Find the:
a) next term; 57
b) n^th term; 10n - 3
c) term number 36; 357

Sequence (Geometric)

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

Find the:
a) next term; 7168
b) n^th term; 7 × 4^n-1
c) term number 9; 458752

Interest (Simple)

If £220 is invested for 4 years with a simple interest rate of 2%, find the amount of interest earned. £17.60

Interest (Compound)

If £200 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £318.77

Currency Exchange

If £1 is worth $1.49, convert:

a) £140 to dollars; $208.60

b) $240 to pounds; £93.96

Coordinates (Midpoint)

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

\((-4,0) \text{ and } (2,12)\)

(-1,6)

Gradient

What is the gradient of the line joining:

\((-5,8) \text{ and } (0,14)\)

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

Coordinates (Square)

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

\((3,5),(8,9),(-1,10)\)

(4,14)

Negative Numbers

a) 11 − 18 = -7
b) 11 × (-5) = -55
c) (12−22)(11−19) = 80
d) 55 ÷ (-5) = -11
e) (-11)² = 121

Substitution

If p = 6, q = 23 and
r = -5 evaluate:

a) 2q − p = 40
b) pq + r = 133
c) p² − 5q - r = -74

Equations (Type 1)

Solve:

\(4x = 12\)

\(x = 3\)

Equations (Type 2)

Solve:

\(3x -3= 21\)

\(x = 8\)

Equations (Type 3)

Solve:

\(7x -3= 6x + 5\)

\(x = 8\)

Equations (Type 4)

Solve:

\(2(4x -5)+12= 58\)

\(x = 7\)

Equations (Type 5)

Solve:

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

\(x = -5\)

Equations (Simultaneous 1)

Solve:

\(5x+3y = 36\)
\(2x-3y = 6\)

\(x = 6, y = 2\)

Equations (Simultaneous 2)

Solve:

\(3x-5y = 0\)
\(4x-10y = -10\)

\(x = 5, y = 3\)

Equations (Simultaneous 3)

Solve:

\(7x+4y = 102.5\)
\(6x+6y = 111\)

\(x = 9.5, y = 9\)

Sets (Union)

Find the union of:

{1,2,3,4,5} and
{1,3,5,7,9}

{1,2,3,4,5,7,9}

Sets (Intersection)

Find the intersection of:

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

{5}

Bearings

A plane flies from point A to point B on a bearing of 054^o. What bearing would it return on from B to A? 234^o

Probability

A number is picked at random from the set

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

what is the probability it is even? \(\frac16\)

BIDMAS

Evaluate:

9 + (6 × 4² − 9)

96

Simplify

Simplify the following by collecting like terms:

\(3x+5x^2-8x+x^2\)

\(6x^2-5x\)

Ratio

Divide 24 in the ratio

2:1

16 and 8

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=-x\)

Gradient -1
y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

43

43

Percentage (Reverse)

In a sale an item costs £56 after a 30% reduction. What was the original price?

£80

Averages

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

6,7,8,9,10

Mean = 8, no mode,
median = 8 and range = 4

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.

0.777777... \(\frac{7}{9}\)

Percentage (Decrease)

Decrease £100 by 45%

£55

Brackets (Linear)

Expand:

\(9(3x-9)\)

\(27x-81\)

Brackets (Quadratic)

Expand:

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

\(x^2-16\)

Factorise (Linear)

Factorise:

\(72x-27\)

\(9(8x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-2\)

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

Factorise (Quadratic 2)

Factorise:

\(10x^2+9x-9\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

3.24 × 10^-2

= 0.0324

Standard Form 3

Write in standard form:

9450

= 9.45 × 10³

Standard Form 4

Write in standard form:

0.000957

= 9.57 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(11, 16, 23, 32, 43, \)

\(n^2+2n+8\)

Standard Form 5

Multiply 4 × 10⁵
by 8 × 10⁵ and give the answer in standard form.

= 3.2 × 10¹¹

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:

\(4x^2+4x-5 = 0\)

\(x = 0.725\) and \(-1.72\)

Polygon Angles

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

40°

Change The Subject

Make \(c\) the subject of the formula
$$d=\frac{3c+1}{2}$$

$$c=\frac{2d-1}{3}$$

Basic Division 1

Calculate the value of:

1647 ÷ 3

= 549

Number Sequences 2

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