Number Sequences 1

What is the 11th:
a) Odd number; 21
b) Square number; 121
c) Prime number. 31

Factors

Find all the factors of:

30

1, 2, 3, 5, 6, 10, 15, 30.

Multiples

Subtract the 7th from the 12th multiples of:

4

20

Polygons

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

Square, Pentagon and Hexagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 39.19; 39.2
b) 805696; 806000
c) 93; 93.0
d) 0.009395; 0.00940

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 12cm.

42cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 5cm and a top (parallel to base) of 6cm. 50cm²

Fractions (Adding)

Evaluate:

\( \frac{1}{4} + \frac{5}{8}\) \(= \frac{7}{8}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{2}{4} ÷ \frac{6}{5}\) \(= \frac{5}{12}\)

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 3cm. Give your answer to three significant figures.

28.3cm²

Circle Circumference

Find the circumference of a circle that has a radius of 12cm. Give your answer to three significant figures.

75.4cm

Decimals (Adding)

Calculate the value of:

4.5 + 2.7

= 7.2

Decimals (Subtracting)

Calculate the value of:

7.4 − 1.9

= 5.5

Decimals (Multiplying)

Calculate the value of:

4.4 × 9.4

= 41.36

Decimals (Dividing)

Calculate the value of:

76.5 ÷ 17

= 4.5

Indices (Simple)

What is the value of:

5²

= 25

Indices (Advanced)

What is the value of:

\(4^{-3}\)

\(= \frac{1}{64}\)

Basic Addition

Calculate the value of:

35 + 29

= 64

Basic Subtraction

Calculate the value of:

61 − 27

= 34

Basic Multiplication

Calculate the value of:

97 × 38

= 3686

Basic Division 2

Calculate the value of:

1209 ÷ 13

= 93

Percentage (Of)

Find the value of:

35% of 40

= 14

Standard Form 1

Find the value of:

2.51 × 10³

= 2510

Highest Common Factor

Find the highest common factor of thirty five and ten.

= 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:

\( \frac{16}{40}\) \(= \frac{2}{5}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{3}{4} − \frac{6}{7}\) \(= \frac{25}{28}\)

Pythagoras

Find AC if AB = 3.1m and BC = 4.2m. 2.83m

Trigonometry (Angle)

Find angle BCA if AC = 4.7m and BC = 6.7m. 45.5^o

Trigonometry (Side)

Find AB if angle ABC = 59^o and BC = 3m. 1.55m

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.

\(0.36\) = \( \frac{9}{25}\)

Percentage (Increase)

Increase £40 by 30%

£52

Lowest Common Multiple

What is the lowest common multiple of four and ten.

= 20

Sequence (Arithmetic)

2,8,14,20,26...

Find the:
a) next term; 32
b) n^th term; 6n - 4
c) term number 51; 302

Sequence (Geometric)

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

Find the:
a) next term; 1215
b) n^th term; 5 × 3^n-1
c) term number 12; 885735

Interest (Simple)

If £120 is invested for 6 years with a simple interest rate of 6%, find the amount of interest earned. £43.20

Interest (Compound)

If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 4 years. £210.57

Currency Exchange

If £1 is worth $1.37, convert:

a) £200 to dollars; $274.00

b) $200 to pounds; £145.99

Coordinates (Midpoint)

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

\((4,-9) \text{ and } (12,-3)\)

(8,-6)

Gradient

What is the gradient of the line joining:

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

1

Coordinates (Square)

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

\((1,1),(4,5),(-3,4)\)

(0,8)

Negative Numbers

a) 6 − 16 = -10
b) 6 × (-12) = -72
c) (9−18)(11−21) = 90
d) 72 ÷ (-12) = -6
e) (-10)² = 100

Substitution

If p = 6, q = 22 and
r = -9 evaluate:

a) 2q − p = 38
b) pq + r = 123
c) p² − 5q - r = -65

Equations (Type 1)

Solve:

\(2x = 10\)

\(x = 5\)

Equations (Type 2)

Solve:

\(4x +7= 23\)

\(x = 4\)

Equations (Type 3)

Solve:

\(9x -3= 6x + 6\)

\(x = 3\)

Equations (Type 4)

Solve:

\(3(4x -6)+9= 87\)

\(x = 8\)

Equations (Type 5)

Solve:

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

\(x = -0.444 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(2x-2y = -4\)
\(5x+2y = 18\)

\(x = 2, y = 4\)

Equations (Simultaneous 2)

Solve:

\(2x+2y = 28\)
\(7x+4y = 77\)

\(x = 7, y = 7\)

Equations (Simultaneous 3)

Solve:

\(5x-5y = 52.5\)
\(3x-2y = 24.5\)

\(x = 3.5, y = -7\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

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

{6,7,8,9,10}

Bearings

A plane flies from point A to point B on a bearing of 352^o. What bearing would it return on from B to A? 172^o

Probability

A number is picked at random from the set

{6,7,8,9,10}

what is the probability it is even? \(\frac35\)

BIDMAS

Evaluate:

4 + 6 × 2 − 4

12

Simplify

Simplify the following by collecting like terms:

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

\(8c-6b\)

Ratio

Divide 54 in the ratio

2:7

12 and 42

Graph Linear (1)

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:

36

2 x 2 x 3 x 3

Percentage (Reverse)

In a sale an item costs £17 after a 15% reduction. What was the original price?

£20

Averages

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

5,8,8,6,7,8

Mean = 7, mode = 8,
median = 7.5 and range = 3

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.

0.262626... \(\frac{26}{99}\)

Percentage (Decrease)

Decrease £20 by 5%

£19

Brackets (Linear)

Expand:

\(7(6x-2)\)

\(42x-14\)

Brackets (Quadratic)

Expand:

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

\(12x^2+5x-3\)

Factorise (Linear)

Factorise:

\(36x-42\)

\(6(6x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-12\)

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

Factorise (Quadratic 2)

Factorise:

\(x^2-x-12\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

4.57 × 10^-5

= 0.0000457

Standard Form 3

Write in standard form:

971

= 9.71 × 10²

Standard Form 4

Write in standard form:

0.0000472

= 4.72 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(0, 12, 30, 54, 84, \)

\(3n^2+3n-6\)

Standard Form 5

Multiply 7 × 10⁵
by 8 × 10⁵ and give the answer in standard form.

= 5.6 × 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:

\(5x^2-3x-5 = 0\)

\(x = 1.34\) and \(-0.744\)

Polygon Angles

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

72°

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:

1704 ÷ 3

= 568

Number Sequences 2

What is the 12th:
a) Cube number; 1728
b) Triangular number; 78
c) Fibonacci number. 144

Square Numbers

What is the square root of

4

2

Prime Numbers

What are the three largest prime numbers less than
47

43, 41, 37

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: 5, 5.55, 5.5, 0.55, 5.05, 0.5, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

h = 75

Angles with Parallels 2

i = 97

Rounding (1sf)

Round to one significant figure:
a) 77.72; 80
b) 472270; 500000
c) 80; 80
d) 0.00633; 0.006

Estimation

Round each value to one significant figure to make an estimate:$$(191 + 4.9) \div 16$$\((200 + 5) \div 20 = 10.25\)

Pie Charts (1)

A pie chart shows the colours of 60 books. What sector angle represents the
2 red books?
12°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 72 hats. How many green hats are represented
by a sector
angle of 70°?
14

Surds (1)

Simplify:
$$\sqrt{27}$$
\(3\sqrt{3}\)

Surds (2)

Simplify:
$$\dfrac{5}{2\sqrt{3}}$$\(\frac{5\sqrt{3}}{6}\)

Surds (3)

Simplify:
$$\dfrac{4}{6 - \sqrt{5}}$$\(\frac{24 + 4\sqrt{5}}{31}\)

Speed, Distance, Time

How far would a car travel at 80km/h for 6 hours and 30 minutes?
🚙520 km

Factorising by Grouping

Factorise:

\(ab + 5a + 2b + 10\)

\((a+2)(b+5)\)

Algebraic Fractions

Simplify:

\(\dfrac{3a}{4} \times \dfrac{9a}{10}\)

\(\dfrac{27a^{2}}{40}\)

Equations with Fractions

Solve:

\(\dfrac{7}{x+2}-\dfrac{x+1}{2x}=1\)

\(x=2 \text{ or}\ x=\frac{1}{3}\)