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:

26

1, 2, 13, 26.

Multiples

Subtract the 7th from the 10th multiples of:

8

24

Polygons

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

Octagon, Nonagon and Decagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 39.42; 39.4
b) 882004; 882000
c) 18; 18.0
d) 0.001895; 0.00190

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 12cm, a height of 7cm and a top (parallel to base) of 6cm. 63cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{5}{8}\) \(= 1\frac{3}{8}\)

Fractions (Multiplying)

Evaluate:

\( \frac{3}{5} × \frac{7}{9}\) \(= \frac{7}{15}\)

Fractions (Dividing)

Evaluate:

\( \frac{1}{3} ÷ \frac{5}{4}\) \(= \frac{4}{15}\)

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 5cm. Give your answer to three significant figures.

78.5cm²

Circle Circumference

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

25.1cm

Decimals (Adding)

Calculate the value of:

9.5 + 7.4

= 16.9

Decimals (Subtracting)

Calculate the value of:

5.2 − 3.5

= 1.7

Decimals (Multiplying)

Calculate the value of:

6.8 × 6.7

= 45.56

Decimals (Dividing)

Calculate the value of:

41.6 ÷ 13

= 3.2

Indices (Simple)

What is the value of:

2²

= 4

Indices (Advanced)

What is the value of:

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

\(= 1\)

Basic Addition

Calculate the value of:

47 + 89

= 136

Basic Subtraction

Calculate the value of:

64 − 26

= 38

Basic Multiplication

Calculate the value of:

83 × 47

= 3901

Basic Division 2

Calculate the value of:

936 ÷ 18

= 52

Percentage (Of)

Find the value of:

85% of 260

= 221

Standard Form 1

Find the value of:

8.35 × 10⁶

= 8350000

Highest Common Factor

Find the highest common factor of twenty four and nine.

= 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:

\( \frac{10}{15}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

\( 1\frac{1}{2} − \frac{5}{6}\) \(= \frac{2}{3}\)

Pythagoras

Find BC if AB = 5m and AC = 6.5m. 8.20m

Trigonometry (Angle)

Find angle BCA if AB = 4.7m and BC = 6.5m. 46.3^o

Trigonometry (Side)

Find AC if angle BCA = 34^o and AB = 3.8m. 5.63m

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.

\( \frac{5}{8}\) \(= 0.625\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.88\) = \( \frac{22}{25}\)

Percentage (Increase)

Increase £140 by 25%

£175

Lowest Common Multiple

What is the lowest common multiple of eight and sixteen.

= 16

Sequence (Arithmetic)

5,17,29,41,53...

Find the:
a) next term; 65
b) n^th term; 12n - 7
c) term number 45; 533

Sequence (Geometric)

5,20,80,320,1280...

Find the:
a) next term; 5120
b) n^th term; 5 × 4^n-1
c) term number 12; 20971520

Interest (Simple)

If £140 is invested for 8 years with a simple interest rate of 4%, find the amount of interest earned. £44.80

Interest (Compound)

If £220 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £350.65

Currency Exchange

If £1 is worth $1.36, convert:

a) £100 to dollars; $136.00

b) $200 to pounds; £147.06

Coordinates (Midpoint)

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

\((6,-9) \text{ and } (14,-1)\)

(10,-5)

Gradient

What is the gradient of the line joining:

\((6,7) \text{ and } (10,11)\)

1

Coordinates (Square)

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

\((5,5),(9,10),(0,9)\)

(4,14)

Negative Numbers

a) 7 − 13 = -6
b) 7 × (-5) = -35
c) (7−13)(5−11) = 36
d) 35 ÷ (-5) = -7
e) (-11)² = 121

Substitution

If p = 5, q = 18 and
r = -9 evaluate:

a) 2q − p = 31
b) pq + r = 81
c) p² − 5q - r = -56

Equations (Type 1)

Solve:

\(4x = 24\)

\(x = 6\)

Equations (Type 2)

Solve:

\(5x +8= 18\)

\(x = 2\)

Equations (Type 3)

Solve:

\(8x -5= 4x + 31\)

\(x = 9\)

Equations (Type 4)

Solve:

\(4(5x -5)+7= 147\)

\(x = 8\)

Equations (Type 5)

Solve:

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

\(x = 0.5\)

Equations (Simultaneous 1)

Solve:

\(3x+4y = 36\)
\(4x-4y = -8\)

\(x = 4, y = 6\)

Equations (Simultaneous 2)

Solve:

\(3x-3y = 3\)
\(6x-12y = -12\)

\(x = 4, y = 3\)

Equations (Simultaneous 3)

Solve:

\(2x+7y = 47\)
\(5x-3y = -5.5\)

\(x = 2.5, y = 6\)

Sets (Union)

Find the union of:

{1,2,3,4,5} and
{1,3,6,10,15}

{1,2,3,4,5,6,10,15}

Sets (Intersection)

Find the intersection of:

{2,4,6,8,10} and
{6,7,8,9,10}

{6,8,10}

Bearings

A plane flies from point A to point B on a bearing of 102^o. What bearing would it return on from B to A? 282^o

Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

BIDMAS

Evaluate:

18 ÷ 6 × 21 ÷ 3

21

Simplify

Simplify the following by collecting like terms:

\(7d−3e−5d+7e\)

\(4e+2d\)

Ratio

Divide 154 in the ratio

5:9

55 and 99

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:

90

2 x 3 x 3 x 5

Percentage (Reverse)

In a sale an item costs £117 after a 35% reduction. What was the original price?

£180

Averages

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

1,2,3,4,5

Mean = 3, no mode,
median = 3 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.

0.222222... \(\frac{2}{9}\)

Percentage (Decrease)

Decrease £40 by 45%

£22

Brackets (Linear)

Expand:

\(4(2x-6)\)

\(8x-24\)

Brackets (Quadratic)

Expand:

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

\(12x^2-13x-4\)

Factorise (Linear)

Factorise:

\(24x-42\)

\(6(4x-7)\)

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

\(4x^2+5x-6\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

8.84 × 10^-4

= 0.000884

Standard Form 3

Write in standard form:

4310

= 4.31 × 10³

Standard Form 4

Write in standard form:

0.0557

= 5.57 × 10^-2

Sequence (Quadratic)

Find the n^th term:

\(-2, 11, 30, 55, 86, \)

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

Standard Form 5

Multiply 5 × 10⁶
by 4 × 10⁴ and give the answer in standard form.

= 2 × 10¹¹

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:

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

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

Polygon Angles

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

51.4°

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:

5848 ÷ 8

= 731

Number Sequences 2

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

Square Numbers

What is the square root of

16

4

Prime Numbers

What are the three largest prime numbers less than
13

11, 7, 5

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: 2.2, 0.2, 0.22, 2, 2.02, 2.22, 0.02, in ascending order.
0.02, 0.2, 0.22, 2, 2.02, 2.2, 2.22,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

e = 69

Angles with Parallels 2

e = 63

Rounding (1sf)

Round to one significant figure:
a) 82.95; 80
b) 696059; 700000
c) 19; 20
d) 0.00260; 0.003

Estimation

Round each value to one significant figure to make an estimate:$$44 + 8.5 \times 61$$\(40 + 9 \times 60 = 580\)

Pie Charts (1)

A pie chart shows the colours of 24 books. What sector angle represents the
7 red books?
105°

Graph Linear (2)

What is the equation?

Pie Charts (2)

A pie chart shows the colours of 9 hats. How many green hats are represented
by a sector
angle of 280°?
7