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:

38

1, 2, 19, 38.

Multiples

Subtract the 5th from the 8th multiples of:

4

12

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 (3sf)

Round to three significant figures:
a) 54.57; 54.6
b) 771964; 772000
c) 49; 49.0
d) 0.004995; 0.00500

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 15cm, a height of 11cm and a top (parallel to base) of 5cm. 110cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{5} + \frac{6}{7}\) \(= 1\frac{16}{35}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{2}{4} ÷ \frac{7}{5}\) \(= \frac{5}{14}\)

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.

\( \frac{2}{6}\) \(= 33.3\)%

Circle Area

Find the area of a circle that has a radius of 8cm. Give your answer to three significant figures.

201cm²

Circle Circumference

Find the circumference of a circle that has a radius of 10cm. Give your answer to three significant figures.

62.8cm

Decimals (Adding)

Calculate the value of:

6.5 + 2.4

= 8.9

Decimals (Subtracting)

Calculate the value of:

5.1 − 3.5

= 1.6

Decimals (Multiplying)

Calculate the value of:

3.3 × 2.2

= 7.26

Decimals (Dividing)

Calculate the value of:

127.5 ÷ 15

= 8.5

Indices (Simple)

What is the value of:

5³

= 125

Indices (Advanced)

What is the value of:

\(16^{\frac{1}{2}}\)

\(= 4\)

Basic Addition

Calculate the value of:

77 + 68

= 145

Basic Subtraction

Calculate the value of:

91 − 28

= 63

Basic Multiplication

Calculate the value of:

68 × 57

= 3876

Basic Division 2

Calculate the value of:

1458 ÷ 27

= 54

Percentage (Of)

Find the value of:

50% of 320

= 160

Standard Form 1

Find the value of:

1.24 × 10³

= 1240

Highest Common Factor

Find the highest common factor of twenty four and twelve.

= 12

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:

\( \frac{27}{54}\) \(= \frac{1}{2}\)

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find AC if AB = 5.9m and BC = 7.3m. 4.30m

Trigonometry (Angle)

Find angle BCA if AB = 5.7m and BC = 7m. 54.5^o

Trigonometry (Side)

Find AB if angle ABC = 66^o and BC = 3.4m. 1.38m

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.

\( \frac{2}{3}\) \(= 0.667\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.69\) = \( \frac{69}{100}\)

Percentage (Increase)

Increase £180 by 15%

£207

Lowest Common Multiple

What is the lowest common multiple of six and sixteen.

= 48

Sequence (Arithmetic)

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

Find the:
a) next term; 57
b) n^th term; 10n - 3
c) term number 48; 477

Sequence (Geometric)

4,8,16,32,64...

Find the:
a) next term; 128
b) n^th term; 4 × 2^n-1
c) term number 9; 1024

Interest (Simple)

If £180 is invested for 9 years with a simple interest rate of 3%, find the amount of interest earned. £48.60

Interest (Compound)

If £100 is invested with an interest rate of 4% compounded annually, find the value of the investment after 7 years. £131.59

Currency Exchange

If £1 is worth $1.22, convert:

a) £220 to dollars; $268.40

b) $220 to pounds; £180.33

Coordinates (Midpoint)

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

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

(0,-4)

Gradient

What is the gradient of the line joining:

\((-2,-6) \text{ and } (2,0)\)

\(\frac{3}{2}\)

Coordinates (Square)

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

\((3,4),(6,7),(0,7)\)

(3,10)

Negative Numbers

a) 7 − 17 = -10
b) 7 × (-5) = -35
c) (12−20)(10−19) = 72
d) 35 ÷ (-5) = -7
e) (-6)² = 36

Substitution

If p = 6, q = 22 and
r = -7 evaluate:

a) 2q − p = 38
b) pq + r = 125
c) p² − 5q - r = -67

Equations (Type 1)

Solve:

\(3x = 18\)

\(x = 6\)

Equations (Type 2)

Solve:

\(2x +4= 14\)

\(x = 5\)

Equations (Type 3)

Solve:

\(7x -4= 2x + 21\)

\(x = 5\)

Equations (Type 4)

Solve:

\(5(3x -4)-12= 73\)

\(x = 7\)

Equations (Type 5)

Solve:

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

\(x = -8\)

Equations (Simultaneous 1)

Solve:

\(3x-2y = 6\)
\(2x-2y = 0\)

\(x = 6, y = 6\)

Equations (Simultaneous 2)

Solve:

\(2x+4y = 26\)
\(7x+8y = 67\)

\(x = 5, y = 4\)

Equations (Simultaneous 3)

Solve:

\(2x-7y = 28.5\)
\(5x-3y = 49.5\)

\(x = 9, y = -1.5\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

{5,6,7,8,9,10} and
{2,3,5,7,11,13}

{5,7}

Bearings

A plane flies from point A to point B on a bearing of 223^o. What bearing would it return on from B to A? 043^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:

6 + 7 × 7 − 9

46

Simplify

Simplify the following by collecting like terms:

\(2y+2y^2-5y+y^2\)

\(3y^2-3y\)

Ratio

Divide 140 in the ratio

8:2

112 and 28

Graph Linear (1)

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:

54

2 x 3 x 3 x 3

Percentage (Reverse)

In a sale an item costs £11 after a 45% reduction. What was the original price?

£20

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.

0.878787... \(\frac{29}{33}\)

Percentage (Decrease)

Decrease £140 by 20%

£112

Brackets (Linear)

Expand:

\(8(7x-9)\)

\(56x-72\)

Brackets (Quadratic)

Expand:

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

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

Factorise (Linear)

Factorise:

\(6x-6\)

\(6(x-1)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-4\)

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

Factorise (Quadratic 2)

Factorise:

\(x^2-16\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

6.95 × 10^-3

= 0.00695

Standard Form 3

Write in standard form:

806

= 8.06 × 10²

Standard Form 4

Write in standard form:

0.00461

= 4.61 × 10^-3

Sequence (Quadratic)

Find the n^th term:

\(17, 30, 49, 74, 105, \)

\(3n^2+4n+10\)

Standard Form 5

Multiply 6 × 10⁵
by 5 × 10⁵ and give the answer in standard form.

= 3 × 10¹¹

Equations (Quadratic 1)

Solve:

\(x^2-3x-10= 0\)

\(x = 5\) and \(-2\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 1.26\) and \(-0.264\)

Polygon Angles

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

120°

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:

2128 ÷ 8

= 266

Number Sequences 2

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

Square Numbers

What are the three largest square numbers less than
121

100, 81, 64

Prime Numbers

What are the three largest prime numbers less than
17

13, 11, 7

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: 1.11, 1.01, 1.1, 0.11, 1, 0.1, 0.01, in ascending order.
0.01, 0.1, 0.11, 1, 1.01, 1.1, 1.11,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

d = 99

Angles with Parallels 2

f = 65

Rounding (1sf)

Round to one significant figure:
a) 31.63; 30
b) 902405; 900000
c) 20; 20
d) 0.00421; 0.004

Estimation

Round each value to one significant figure to make an estimate:$$53 + 9.7 \times 53$$\(50 + 10 \times 50 = 550\)

Pie Charts (1)

A pie chart shows the colours of 180 books. What sector angle represents the
55 red books?
110°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 90 hats. How many green hats are represented
by a sector
angle of 352°?
88