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:

39

1, 3, 13, 39.

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) 23.51; 23.5
b) 121913; 122000
c) 0.001295; 0.00130

Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 8cm.

16cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 17cm, a height of 6cm and a top (parallel to base) of 7cm. 72cm²

Fractions (Adding)

Evaluate:

\( \frac{2}{5} + \frac{7}{9}\) \(= 1\frac{8}{45}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{3}{4} ÷ \frac{6}{5}\) \(= \frac{5}{8}\)

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.

\( \frac{3}{6}\) \(= 50\)%

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 9cm. Give your answer to three significant figures.

56.5cm

Decimals (Adding)

Calculate the value of:

2.8 + 6.6

= 9.4

Decimals (Subtracting)

Calculate the value of:

8.4 − 3.6

= 4.8

Decimals (Multiplying)

Calculate the value of:

2.2 × 8.6

= 18.92

Decimals (Dividing)

Calculate the value of:

49.4 ÷ 19

= 2.6

Indices (Simple)

What is the value of:

5³

= 125

Indices (Advanced)

What is the value of:

\(3^{0}\)

\(= 1\)

Basic Addition

Calculate the value of:

37 + 86

= 123

Basic Subtraction

Calculate the value of:

74 − 26

= 48

Basic Multiplication

Calculate the value of:

93 × 29

= 2697

Basic Division 2

Calculate the value of:

901 ÷ 17

= 53

Percentage (Of)

Find the value of:

65% of 260

= 169

Standard Form 1

Find the value of:

7.13 × 10⁵

= 713000

Highest Common Factor

Find the highest common factor of thirty and fifteen.

= 15

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:

\( \frac{24}{42}\) \(= \frac{4}{7}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{2}{3} − \frac{6}{7}\) \(= 1\frac{17}{21}\)

Pythagoras

Find AC if AB = 3.8m and BC = 5.4m. 3.84m

Trigonometry (Angle)

Find angle BCA if AC = 4.5m and BC = 6.4m. 45.3^o

Trigonometry (Side)

Find AC if angle ABC = 21^o and AB = 6m. 2.30m

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.

\( \frac{4}{6}\) \(= 0.667\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.9\) = \( \frac{9}{10}\)

Percentage (Increase)

Increase £120 by 20%

£144

Lowest Common Multiple

What is the lowest common multiple of nine and eighteen.

= 18

Sequence (Arithmetic)

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

Find the:
a) next term; 28
b) n^th term; 5n - 2
c) term number 37; 183

Sequence (Geometric)

5,15,45,135,405...

Find the:
a) next term; 1215
b) n^th term; 5 × 3^n-1
c) term number 8; 10935

Interest (Simple)

If £200 is invested for 4 years with a simple interest rate of 2%, find the amount of interest earned. £16.00

Interest (Compound)

If £220 is invested with an interest rate of 1% compounded annually, find the value of the investment after 8 years. £238.23

Currency Exchange

If £1 is worth $1.38, convert:

a) £140 to dollars; $193.20

b) $160 to pounds; £115.94

Coordinates (Midpoint)

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

\((3,-5) \text{ and } (9,1)\)

(6,-2)

Gradient

What is the gradient of the line joining:

\((-5,1) \text{ and } (0,5)\)

\(\frac{4}{5}\)

Coordinates (Square)

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

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

(2,11)

Negative Numbers

a) 9 − 15 = -6
b) 9 × (-9) = -81
c) (9−21)(11−19) = 96
d) 81 ÷ (-9) = -9
e) (-11)² = 121

Substitution

If p = 5, q = 20 and
r = -6 evaluate:

a) 2q − p = 35
b) pq + r = 94
c) p² − 5q - r = -69

Equations (Type 1)

Solve:

\(4x = 20\)

\(x = 5\)

Equations (Type 2)

Solve:

\(2x +7= 11\)

\(x = 2\)

Equations (Type 3)

Solve:

\(6x +6= 3x + 21\)

\(x = 5\)

Equations (Type 4)

Solve:

\(4(2x +5)+9= 45\)

\(x = 2\)

Equations (Type 5)

Solve:

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

\(x = 2.4\)

Equations (Simultaneous 1)

Solve:

\(4x-5y = 4\)
\(3x-5y = -2\)

\(x = 6, y = 4\)

Equations (Simultaneous 2)

Solve:

\(2x+2y = 10\)
\(6x-4y = 0\)

\(x = 2, y = 3\)

Equations (Simultaneous 3)

Solve:

\(3x+3y = 12\)
\(7x+2y = -17\)

\(x = -5, y = 9\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

{2,4,6,8,10} and
{1,3,6,10,15}

{6,10}

Bearings

A plane flies from point A to point B on a bearing of 351^o. What bearing would it return on from B to A? 171^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:

5 + 9 × 9 − 6

80

Simplify

Simplify the following by collecting like terms:

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

\(6x^2-5x\)

Ratio

Divide 195 in the ratio

7:6

105 and 90

Graph (Linear)

Draw a rough sketch of the graph of:

\(2y=x+4\)

Gradient 0.5
y intercept 2

Prime Factors

Express the following number as the product of prime numbers:

270

2 x 3 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £171 after a 5% reduction. What was the original price?

£180

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.

0.828282... \(\frac{82}{99}\)

Percentage (Decrease)

Decrease £40 by 15%

£34

Brackets (Linear)

Expand:

\(7(8x-9)\)

\(56x-63\)

Brackets (Quadratic)

Expand:

\((3x+2)(4x-1)\)

\(12x^2+5x-2\)

Factorise (Linear)

Factorise:

\(63x-45\)

\(9(7x-5)\)

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

\(16x^2-9\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

1.35 × 10^-3

= 0.00135

Standard Form 3

Write in standard form:

581

= 5.81 × 10²

Standard Form 4

Write in standard form:

0.0000792

= 7.92 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(16, 29, 48, 73, 104, \)

\(3n^2+4n+9\)

Standard Form 5

Multiply 8 × 10⁴
by 5 × 10³ and give the answer in standard form.

= 4 × 10⁸

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:

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

\(x = 0.425\) and \(-1.18\)

Polygon Angles

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

144°

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:

3048 ÷ 8

= 381

Number Sequences 2

What is the 11th:
a) Cube number; 1331
b) Triangular number; 66
c) Fibonacci number. 89

Square Numbers

What is the square of

6

36

Prime Numbers

What are the three largest prime numbers less than
43

41, 37, 31

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: 4, 4.44, 4.4, 0.44, 4.04, 0.4, 0.04, in ascending order.
0.04, 0.4, 0.44, 4, 4.04, 4.4, 4.44,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

a = 48

Angles with Parallels 2

j = 58