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:

21

1, 3, 7, 21.

Multiples

Subtract the 6th from the 11th multiples of:

11

55

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) 14.86; 14.9
b) 505620; 506000
c) 0.003395; 0.00340

Area of a Triangle

Find the area of a triangle that has a base of 3cm and a height of 6cm.

9cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 11cm, a height of 7cm and a top (parallel to base) of 5cm. 56cm²

Fractions (Adding)

Evaluate:

\( \frac{1}{3} + \frac{6}{8}\) \(= 1\frac{1}{12}\)

Fractions (Multiplying)

Evaluate:

\( \frac{1}{2} × \frac{4}{5}\) \(= \frac{2}{5}\)

Fractions (Dividing)

Evaluate:

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

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 9cm. Give your answer to three significant figures.

254cm²

Circle Circumference

Find the circumference of a circle that has a radius of 4cm. Give your answer to three significant figures.

25.1cm²

Decimals (Adding)

Calculate the value of:

9.8 + 5.6

= 15.4

Decimals (Subtracting)

Calculate the value of:

9.1 − 3.8

= 5.3

Decimals (Multiplying)

Calculate the value of:

8.6 × 7.9

= 67.94

Decimals (Dividing)

Calculate the value of:

78.4 ÷ 16

= 4.9

Indices (Simple)

What is the value of:

3³

= 27

Indices (Advanced)

What is the value of:

1⁰

= 1

Basic Addition

Calculate the value of:

88 + 68

= 156

Basic Subtraction

Calculate the value of:

92 − 29

= 63

Basic Multiplication

Calculate the value of:

22 × 53

= 1166

Basic Division 2

Calculate the value of:

1900 ÷ 25

= 76

Percentage (Of)

Find the value of:

25% of 120

= 30

Standard Form 1

Find the value of:

1.87 × 10⁶

= 1870000

Highest Common Factor

Find the highest common factor of twenty seven and twelve.

= 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:

\( \frac{7}{28}\) \(= \frac{1}{4}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{4}{5} − \frac{8}{9}\) \(= \frac{41}{45}\)

Pythagoras

Find AB if AC = 3.7m and BC = 5.2m. 3.65m

Trigonometry (Angle)

Find angle BCA if AB = 4.1m and AC = 5.7m. 35.7^o

Trigonometry (Side)

Find BC if angle BCA = 66^o and AC = 3.9m. 9.59m

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.

\( \frac{1}{2}\) \(= 0.5\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.58\) = \( \frac{29}{50}\)

Percentage (Increase)

Increase £140 by 25%

£175

Lowest Common Multiple

What is the lowest common multiple of nine and fifteen.

= 45

Sequence (Arithmetic)

3,8,13,18,23...

Find the:
a) next term; 28
b) n^th term; 5n - 2
c) term number 55; 273

Sequence (Geometric)

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

Find the:
a) next term; 6144
b) n^th term; 6 × 4^n-1
c) term number 10; 1572864

Interest (Simple)

If £180 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £32.40

Interest (Compound)

If £200 is invested with an interest rate of 5% compounded annually, find the value of the investment after 5 years. £255.26

Currency Exchange

If £1 is worth $1.51, convert:

a) £160 to dollars; $241.60

b) $200 to pounds; £105.96

Coordinates (Midpoint)

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

\((-3,9) \text{ and } (3,19)\)

(0,14)

Gradient

What is the gradient of the line joining:

\((-6,-1) \text{ and } (-2,3)\)

1

Coordinates (Square)

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

\((5,2),(10,6),(1,7)\)

(6,11)

Negative Numbers

a) 7 − 13 = -6
b) 7 × (-11) = -77
c) (6−12)(6−18) = 72
d) 77 ÷ (-11) = -7
e) (-5)² = 25

Substitution

If p = 5, q = 18 and
r = -6 evaluate:

a) 2q − p = 31
b) pq + r = 84
c) p² − 5q - r = -59

Equations (Type 1)

Solve:

\(4x = 16\)

\(x = 4\)

Equations (Type 2)

Solve:

\(3x +3= 24\)

\(x = 7\)

Equations (Type 3)

Solve:

\(7x -2= 5x + 16\)

\(x = 9\)

Equations (Type 4)

Solve:

\(4(2x -5)-6= 46\)

\(x = 9\)

Equations (Type 5)

Solve:

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

\(x = -2.17 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x-3y = 5\)
\(5x+3y = 40\)

\(x = 5, y = 5\)

Equations (Simultaneous 2)

Solve:

\(2x+2y = 20\)
\(4x+8y = 64\)

\(x = 4, y = 6\)

Equations (Simultaneous 3)

Solve:

\(6x-2y = -26\)
\(5x+2y = -45.5\)

\(x = -6.5, y = -6.5\)

Sets (Union)

Find the union of:

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

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

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 258^o. What bearing would it return on from B to A? 078^o

Probability

A number is picked at random from the set

{2,4,6,8,10}

what is the probability it is even? 1

BIDMAS

Evaluate:

8 + (4 × 7² − 3)

201

Simplify

Simplify the following by collecting like terms:

\(5a−5−4a−5\)

\(a-10\)

Ratio

Divide 33 in the ratio

2:1

22 and 11

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=x+2\)

Gradient 1
y intercept 2

Prime Factors

Express the following number as the product of prime numbers:

43

43

Percentage (Reverse)

In a sale an item costs £112 after a 20% reduction. What was the original price?

£140

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.

0.494949... \(\frac{49}{99}\)

Percentage (Decrease)

Decrease £140 by 30%

£98

Brackets (Linear)

Expand:

\(9(2x-6)\)

\(18x-54\)

Brackets (Quadratic)

Expand:

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

\(12x^2-4x-16\)

Factorise (Linear)

Factorise:

\(10x-6\)

\(2(5x-3)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-1\)

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

Factorise (Quadratic 2)

Factorise:

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

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

3.14 × 10^-2

= 0.0314

Standard Form 3

Write in standard form:

6880

= 6.88 × 10³

Standard Form 4

Write in standard form:

0.0000706

= 7.06 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(8, 16, 28, 44, 64, \)

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

Standard Form 5

Multiply 9 × 10³
by 9 × 10⁴ and give the answer in standard form.

= 8.1 × 10⁸

Equations (Quadratic 1)

Solve:

\(x^2+x-12= 0\)

\(x = 3\) and \(-4\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(2x^2+3x-1 = 0\)

\(x = 0.281\) and \(-1.78\)

Polygon Angles

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

135°

Change The Subject

Make \(g\) the subject of the formula
$$e=\frac{g}{h}+d$$

$$g=h(e-d)$$

Basic Division 1

Calculate the value of:

2872 ÷ 8

= 359

Number Sequences 2

What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55