Number Sequences 1

What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37

Factors

Find all the factors of:

23

1, 23.

Multiples

Subtract the 7th from the 12th multiples of:

8

40

Polygons

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

Heptagon, Octagon and Nonagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 45.63; 45.6
b) 669167; 669000
c) 0.006495; 0.00650

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 5cm and a top (parallel to base) of 6cm. 50cm²

Fractions (Adding)

Evaluate:

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

Fractions (Multiplying)

Evaluate:

\( \frac{2}{4} × \frac{6}{8}\) \(= \frac{3}{8}\)

Fractions (Dividing)

Evaluate:

\( \frac{2}{3} ÷ \frac{5}{4}\) \(= \frac{8}{15}\)

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.

\( \frac{3}{7}\) \(= 42.9\)%

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 5cm. Give your answer to three significant figures.

31.4cm²

Decimals (Adding)

Calculate the value of:

9.7 + 6.4

= 16.1

Decimals (Subtracting)

Calculate the value of:

8.1 − 2.7

= 5.4

Decimals (Multiplying)

Calculate the value of:

5.3 × 2.7

= 14.31

Decimals (Dividing)

Calculate the value of:

140.4 ÷ 18

= 7.8

Indices (Simple)

What is the value of:

5²

= 25

Indices (Advanced)

What is the value of:

5^-3

= 0.008

Basic Addition

Calculate the value of:

27 + 97

= 124

Basic Subtraction

Calculate the value of:

92 − 26

= 66

Basic Multiplication

Calculate the value of:

44 × 25

= 1100

Basic Division 2

Calculate the value of:

1748 ÷ 19

= 92

Percentage (Of)

Find the value of:

70% of 180

= 126

Standard Form 1

Find the value of:

5.25 × 10⁵

= 525000

Highest Common Factor

Find the highest common factor of twenty four and fifteen.

= 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:

\( \frac{32}{48}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find BC if AB = 5.6m and AC = 7.1m. 9.04m

Trigonometry (Angle)

Find angle ABC if AC = 5.9m and AB = 7.1m. 39.7^o

Trigonometry (Side)

Find AC if angle ABC = 53^o and AB = 4m. 5.31m

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.

\( \frac{5}{6}\) \(= 0.833\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.34\) = \( \frac{17}{50}\)

Percentage (Increase)

Increase £80 by 15%

£92

Lowest Common Multiple

What is the lowest common multiple of sixteen and thirty two.

= 32

Sequence (Arithmetic)

5,15,25,35,45...

Find the:
a) next term; 55
b) n^th term; 10n - 5
c) term number 52; 515

Sequence (Geometric)

3,6,12,24,48...

Find the:
a) next term; 96
b) n^th term; 3 × 2^n-1
c) term number 10; 1536

Interest (Simple)

If £200 is invested for 8 years with a simple interest rate of 3%, find the amount of interest earned. £48.00

Interest (Compound)

If £140 is invested with an interest rate of 3% compounded annually, find the value of the investment after 9 years. £182.67

Currency Exchange

If £1 is worth $1.59, convert:

a) £140 to dollars; $222.60

b) $140 to pounds; £88.05

Coordinates (Midpoint)

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

\((7,8) \text{ and } (15,14)\)

(11,11)

Gradient

What is the gradient of the line joining:

\((6,0) \text{ and } (10,3)\)

\(\frac{3}{4}\)

Coordinates (Square)

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

\((1,1),(6,5),(-3,6)\)

(2,10)

Negative Numbers

a) 8 − 16 = -8
b) 8 × (-8) = -64
c) (11−16)(10−16) = 30
d) 64 ÷ (-8) = -8
e) (-7)² = 49

Substitution

If p = 5, q = 22 and
r = -5 evaluate:

a) 2q − p = 39
b) pq + r = 105
c) p² − 5q - r = -80

Equations (Type 1)

Solve:

\(4x = 32\)

\(x = 8\)

Equations (Type 2)

Solve:

\(2x -5= 5\)

\(x = 5\)

Equations (Type 3)

Solve:

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

\(x = 6\)

Equations (Type 4)

Solve:

\(4(2x -5)+11= 55\)

\(x = 8\)

Equations (Type 5)

Solve:

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

\(x = -0.222 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(3x-3y = 0\)
\(2x+3y = 35\)

\(x = 7, y = 7\)

Equations (Simultaneous 2)

Solve:

\(4x-3y = 2\)
\(2x+6y = 16\)

\(x = 2, y = 2\)

Equations (Simultaneous 3)

Solve:

\(6x+3y = -57\)
\(5x+7y = -70\)

\(x = -7, y = -5\)

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
{1,3,6,10,15}

{1,3}

Bearings

A plane flies from point A to point B on a bearing of 184^o. What bearing would it return on from B to A? 004^o

Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

BIDMAS

Evaluate:

7 + 8 × 3 − 3

28

Simplify

Simplify the following by collecting like terms:

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

\(11b+9c\)

Ratio

Divide 120 in the ratio

5:3

75 and 45

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 £44 after a 45% reduction. What was the original price?

£80

Averages

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

1,3,5,7,9

Mean = 5, no mode,
median = 5 and range = 8

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.

0.949494... \(\frac{94}{99}\)

Percentage (Decrease)

Decrease £20 by 25%

£15

Brackets (Linear)

Expand:

\(3(2x-4)\)

\(6x-12\)

Brackets (Quadratic)

Expand:

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

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

Factorise (Linear)

Factorise:

\(48x-56\)

\(8(6x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-12\)

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

Factorise (Quadratic 2)

Factorise:

\(15x^2+17x-4\)

\((3x+4)(5x-1)\)

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

4.86 × 10^-5

= 0.0000486

Standard Form 3

Write in standard form:

27000

= 2.7 × 10⁴

Standard Form 4

Write in standard form:

0.000164

= 1.64 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(12, 18, 26, 36, 48, \)

\(n^2+3n+8\)

Standard Form 5

Multiply 4 × 10²
by 7 × 10⁶ and give the answer in standard form.

= 2.8 × 10⁹

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:

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

\(x = 1.16\) and \(-2.16\)

Polygon Angles

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

120°

Change The Subject

Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$

$$k=\frac{bc}{a}-2$$

Basic Division 1

Calculate the value of:

4815 ÷ 9

= 535

Number Sequences 2

What is the 9th:
a) Cube number; 729
b) Triangular number; 45
c) Fibonacci number. 34

Square Numbers

What are the three largest square numbers less than
100

81, 64, 49

Prime Numbers

What are the next three prime numbers after
13

17, 19, 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.