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:

33

1, 3, 11, 33.

Multiples

Subtract the 7th from the 12th multiples of:

12

60

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

Round the following numbers to three significant figures:
a) 33.21; 33.2
b) 136412; 136000
c) 0.009295; 0.00930

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 8cm and a top (parallel to base) of 4cm. 72cm²

Fractions (Adding)

Evaluate:

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

Fractions (Multiplying)

Evaluate:

\( \frac{1}{3} × \frac{5}{6}\) \(= \frac{5}{18}\)

Fractions (Dividing)

Evaluate:

\( \frac{2}{3} ÷ \frac{7}{5}\) \(= \frac{10}{21}\)

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.

\( \frac{3}{8}\) \(= 37.5\)%

Circle Area

Find the area of a circle that has a radius of 6cm. Give your answer to three significant figures.

113cm²

Circle Circumference

Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.

37.7cm

Decimals (Adding)

Calculate the value of:

8.6 + 6.5

= 15.1

Decimals (Subtracting)

Calculate the value of:

7.2 − 4.6

= 2.6

Decimals (Multiplying)

Calculate the value of:

3.9 × 7.4

= 28.86

Decimals (Dividing)

Calculate the value of:

105.6 ÷ 16

= 6.6

Indices (Simple)

What is the value of:

4³

= 64

Indices (Advanced)

What is the value of:

\(1^{0}\)

\(= 1\)

Basic Addition

Calculate the value of:

25 + 28

= 53

Basic Subtraction

Calculate the value of:

83 − 25

= 58

Basic Multiplication

Calculate the value of:

78 × 89

= 6942

Basic Division 2

Calculate the value of:

1537 ÷ 29

= 53

Percentage (Of)

Find the value of:

45% of 240

= 108

Standard Form 1

Find the value of:

9.26 × 10⁶

= 9260000

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:

\( \frac{24}{36}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{4}{5} − \frac{7}{8}\) \(= 1\frac{37}{40}\)

Pythagoras

Find AC if AB = 4.3m and BC = 5.8m. 3.89m

Trigonometry (Angle)

Find angle BCA if AB = 5.8m and AC = 7m. 39.6^o

Trigonometry (Side)

Find AC if angle BCA = 30^o and AB = 4.6m. 7.97m

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.

\( \frac{2}{5}\) \(= 0.4\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.18\) = \( \frac{9}{50}\)

Percentage (Increase)

Increase £180 by 5%

£189

Lowest Common Multiple

What is the lowest common multiple of ten and thirty.

= 30

Sequence (Arithmetic)

4,13,22,31,40...

Find the:
a) next term; 49
b) n^th term; 9n - 5
c) term number 41; 364

Sequence (Geometric)

5,10,20,40,80...

Find the:
a) next term; 160
b) n^th term; 5 × 2^n-1
c) term number 8; 640

Interest (Simple)

If £140 is invested for 6 years with a simple interest rate of 3%, find the amount of interest earned. £25.20

Interest (Compound)

If £100 is invested with an interest rate of 1% compounded annually, find the value of the investment after 6 years. £106.15

Currency Exchange

If £1 is worth $1.21, convert:

a) £220 to dollars; $266.20

b) $240 to pounds; £198.35

Coordinates (Midpoint)

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

\((0,3) \text{ and } (8,15)\)

(4,9)

Gradient

What is the gradient of the line joining:

\((-6,7) \text{ and } (-2,12)\)

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

Coordinates (Square)

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

\((2,5),(7,9),(-2,10)\)

(3,14)

Negative Numbers

a) 5 − 12 = -7
b) 5 × (-6) = -30
c) (9−18)(5−10) = 45
d) 30 ÷ (-6) = -5
e) (-12)² = 144

Substitution

If p = 6, q = 17 and
r = -7 evaluate:

a) 2q − p = 28
b) pq + r = 95
c) p² − 5q - r = -42

Equations (Type 1)

Solve:

\(3x = 9\)

\(x = 3\)

Equations (Type 2)

Solve:

\(2x -4= 14\)

\(x = 9\)

Equations (Type 3)

Solve:

\(5x +2= 2x + 11\)

\(x = 3\)

Equations (Type 4)

Solve:

\(4(3x -2)-9= 79\)

\(x = 8\)

Equations (Type 5)

Solve:

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

\(x = 1.67 \text{(to 3 sf)}\)

Equations (Simultaneous 1)

Solve:

\(4x-2y = 6\)
\(5x-2y = 11\)

\(x = 5, y = 7\)

Equations (Simultaneous 2)

Solve:

\(4x+4y = 24\)
\(5x-8y = 4\)

\(x = 4, y = 2\)

Equations (Simultaneous 3)

Solve:

\(2x-3y = -22.5\)
\(3x+2y = -17.5\)

\(x = -7.5, y = 2.5\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

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

{6,8,10}

Bearings

A plane flies from point A to point B on a bearing of 159^o. What bearing would it return on from B to A? 339^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:

2² − 4 × 4 + 9

-3

Simplify

Simplify the following by collecting like terms:

\(6m+7+5m+8\)

\(11m+15\)

Ratio

Divide 80 in the ratio

7:3

56 and 24

Graph (Linear)

Draw a rough sketch of the graph of:

\(2y=x\)

Gradient 0.5
y intercept 0

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 £135 after a 25% reduction. What was the original price?

£180

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.

0.636363... \(\frac{7}{11}\)

Percentage (Decrease)

Decrease £140 by 5%

£133

Brackets (Linear)

Expand:

\(8(4x-6)\)

\(32x-48\)

Brackets (Quadratic)

Expand:

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

\(6x^2+2x-8\)

Factorise (Linear)

Factorise:

\(18x-24\)

\(6(3x-4)\)

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

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

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

3.76 × 10^-5

= 0.0000376

Standard Form 3

Write in standard form:

996000

= 9.96 × 10⁵

Standard Form 4

Write in standard form:

0.000033

= 3.3 × 10^-5

Sequence (Quadratic)

Find the n^th term:

\(3, 14, 31, 54, 83, \)

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

Standard Form 5

Multiply 6 × 10³
by 4 × 10³ and give the answer in standard form.

= 2.4 × 10⁷

Equations (Quadratic 1)

Solve:

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

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

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 1.44\) and \(-0.693\)

Polygon Angles

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

51.4°

Change The Subject

Make \(d\) the subject of the formula
$$e=\frac{2d-1}{3}$$

$$d=\frac{3e+1}{2}$$

Basic Division 1

Calculate the value of:

1730 ÷ 5

= 346

Number Sequences 2

What is the 6th:
a) Cube number; 216
b) Triangular number; 21
c) Fibonacci number. 8

Square Numbers

What is the difference between the 4th and the 5th square numbers?

9

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: 7.7, 7.07, 0.77, 7.77, 7, 0.7, 0.07, in ascending order.
0.07, 0.7, 0.77, 7, 7.07, 7.7, 7.77,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

b = 52

Angles with Parallels 2

c = 78