Refreshing Revision

Number Sequences 1

What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13

Factors

Find all the factors of:

34

1, 2, 17, 34.

Multiples

Subtract the 4th from the 8th multiples of:

6

24

Polygons

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

Equilateral Triangle, Square and Pentagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 95.31; 95.3
b) 774731; 775000
c) 65; 65.0
d) 0.006595; 0.00660

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 11cm, a height of 10cm and a top (parallel to base) of 5cm. 80cm²

Fractions (Adding)

Evaluate:

$\frac{3}{5} + \frac{8}{10}$ $= 1\frac{2}{5}$

Fractions (Multiplying)

Evaluate:

$\frac{3}{5} × \frac{6}{8}$ $= \frac{9}{20}$

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.

$\frac{5}{8}$ $= 62.5$ %

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 2cm. Give your answer to three significant figures.

12.6cm

Decimals (Adding)

Calculate the value of:

5.8 + 5.6

= 11.4

Decimals (Subtracting)

Calculate the value of:

9.4 − 2.6

= 6.8

Decimals (Multiplying)

Calculate the value of:

5.4 × 7.6

= 41.04

Decimals (Dividing)

Calculate the value of:

138.6 ÷ 14

= 9.9

Indices (Simple)

What is the value of:

1³

= 1

Indices (Advanced)

What is the value of:

$2^{1}$

$= 2$

Basic Addition

Calculate the value of:

68 + 56

= 124

Basic Subtraction

Calculate the value of:

63 − 28

= 35

Basic Multiplication

Calculate the value of:

93 × 44

= 4092

Basic Division 2

Calculate the value of:

660 ÷ 12

= 55

Percentage (Of)

Find the value of:

70% of 360

= 252

Standard Form 1

Find the value of:

6.68 × 10⁴

= 66800

Highest Common Factor

Find the highest common factor of thirty six and eight.

= 4

Times Tables (2-5)

8 × 5 = 40	4 × 4 = 16
3 × 2 = 6	5 × 4 = 20
6 × 4 = 24	7 × 5 = 35
9 × 3 = 27	2 × 3 = 6

Times Tables (2-12)

5 × 3 = 15	6 × 10 = 60
7 × 9 = 63	8 × 6 = 48
3 × 10 = 30	9 × 11 = 99
4 × 7 = 28	2 × 12 = 24

Times Tables (2)

6 × 2 = 12	8 × 2 = 16
5 × 2 = 10	9 × 2 = 18
7 × 2 = 14	4 × 2 = 8
3 × 2 = 6	2 × 2 = 4

Times Tables (3)

9 × 3 = 27	4 × 3 = 12
5 × 3 = 15	6 × 3 = 18
8 × 3 = 24	3 × 3 = 9
7 × 3 = 21	2 × 3 = 6

Times Tables (4)

5 × 4 = 20	3 × 4 = 12
6 × 4 = 24	7 × 4 = 28
8 × 4 = 32	4 × 4 = 16
9 × 4 = 36	2 × 4 = 8

Times Tables (5)

3 × 5 = 15	8 × 5 = 40
6 × 5 = 30	5 × 5 = 25
7 × 5 = 35	4 × 5 = 20
9 × 5 = 45	2 × 5 = 10

Times Tables (6)

5 × 6 = 30	7 × 6 = 42
6 × 6 = 36	8 × 6 = 48
4 × 6 = 24	9 × 6 = 54
3 × 6 = 18	2 × 6 = 12

Times Tables (7)

5 × 7 = 35	9 × 7 = 63
8 × 7 = 56	6 × 7 = 42
4 × 7 = 28	3 × 7 = 21
7 × 7 = 49	2 × 7 = 14

Times Tables (8)

3 × 8 = 24	9 × 8 = 72
7 × 8 = 56	4 × 8 = 32
5 × 8 = 40	6 × 8 = 48
8 × 8 = 64	2 × 8 = 16

Times Tables (9)

4 × 9 = 36	3 × 9 = 27
5 × 9 = 45	6 × 9 = 54
7 × 9 = 63	9 × 9 = 81
8 × 9 = 72	2 × 9 = 18

Times Tables (12)

6 × 12 = 72	3 × 12 = 36
4 × 12 = 48	7 × 12 = 84
9 × 12 = 108	8 × 12 = 96
5 × 12 = 60	2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

$\frac{14}{21}$ $= \frac{2}{3}$

Fractions (Mixed)

Evaluate:

$3\frac{3}{4} − \frac{7}{8}$ $= 2\frac{7}{8}$

Pythagoras

Find AC if AB = 5.5m and BC = 6.8m. 4.00m

Trigonometry (Angle)

Find angle BCA if AB = 5.4m and BC = 6.5m. 56.2^o

Trigonometry (Side)

Find AC if angle ABC = 48^o and AB = 3.2m. 3.55m

Roman Numerals (1-12)

X - II

Give your answer in Roman numerals.

VIII

Roman Numerals (60-100)

LXV - XXXI

Give your answer in Roman numerals.

XXXIV

Roman Numerals (Large)

MMDXLIX - MCLII

Give your answer in Roman numerals.

MCCCXCVII

Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$\frac{2}{6}$ $= 0.333$

Decimal to Fraction

Convert this decimal to a fraction.

$0.59$ = $\frac{59}{100}$

Percentage (Increase)

Increase £60 by 25%

£75

Lowest Common Multiple

What is the lowest common multiple of six and sixteen.

= 48

Sequence (Arithmetic)

7,21,35,49,63...

Find the:
a) next term; 77
b) n^th term; 14n - 7
c) term number 35; 483

Sequence (Geometric)

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

Find the:
a) next term; 1215
b) n^th term; 5 × 3^n-1
c) term number 10; 98415

Interest (Simple)

If £240 is invested for 8 years with a simple interest rate of 1%, find the amount of interest earned. £19.20

Interest (Compound)

If £100 is invested with an interest rate of 2% compounded annually, find the value of the investment after 8 years. £117.17

Currency Exchange

If £1 is worth $1.24, convert:

a) £180 to dollars; $223.20

b) $100 to pounds; £80.65

Coordinates (Midpoint)

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

$(7,1) \text{ and } (17,7)$

(12,4)

Gradient

What is the gradient of the line joining:

$(3,5) \text{ and } (6,9)$

$\frac{4}{3}$

Coordinates (Square)

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

$(5,5),(9,11),(-1,9)$

(3,15)

Negative Numbers

a) 5 − 16 = -11
b) 5 × (-8) = -40
c) (5−14)(10−15) = 45
d) 40 ÷ (-8) = -5
e) (-11)² = 121

Substitution

If p = 5, q = 21 and
r = -8 evaluate:

a) 2q − p = 37
b) pq + r = 97
c) p² − 5q - r = -72

Equations (Type 1)

Solve:

$2x = 4$

$x = 2$

Equations (Type 2)

Solve:

$3x -6= 15$

$x = 7$

Equations (Type 3)

Solve:

$8x +6= 5x + 15$

$x = 3$

Equations (Type 4)

Solve:

$3(3x -3)+5= 23$

$x = 3$

Equations (Type 5)

Solve:

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

$x = 1$

Equations (Simultaneous 1)

Solve:

$4x-4y = -16$
$3x+4y = 30$

$x = 2, y = 6$

Equations (Simultaneous 2)

Solve:

$3x-3y = -3$
$5x-6y = -8$

$x = 2, y = 3$

Equations (Simultaneous 3)

Solve:

$3x+5y = -2.5$
$5x-3y = 18.5$

$x = 2.5, y = -2$

Sets (Union)

Find the union of:

{6,7,8,9,10} and
{2,6,12}

{2,6,7,8,9,10,12}

Sets (Intersection)

Find the intersection of:

{1,3,5,7,9} and
{1,3,6,10,15}

{1,3}

Bearings

A plane flies from point A to point B on a bearing of 338^o. What bearing would it return on from B to A? 158^o

Probability

A number is picked at random from the set

{2,3,5,7,11,13}

what is the probability it is even? $\frac16$

BIDMAS

Evaluate:

(19 − 6)² + 2 × 2

173

Simplify

Simplify the following by collecting like terms:

$5a−5−4a−5$

$a-10$

Ratio

Divide 25 in the ratio

4:1

20 and 5

Graph Linear (1)

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:

36

2 x 2 x 3 x 3

Percentage (Reverse)

In a sale an item costs £56 after a 30% reduction. What was the original price?

£80

Averages

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

5,3,7,5,10

Mean = 6, mode = 5,
median = 5 and range = 7

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.

0.151515... $\frac{5}{33}$

Percentage (Decrease)

Decrease £40 by 45%

£22

Brackets (Linear)

Expand:

$6(8x-4)$

$48x-24$

Brackets (Quadratic)

Expand:

$(2x+3)(2x-3)$

$4x^2-9$

Factorise (Linear)

Factorise:

$45x-10$

$5(9x-2)$

Factorise (Quadratic 1)

Factorise:

$x^2-16$

$(x+4)(x-4)$

Factorise (Quadratic 2)

Factorise:

$5x^2+17x-12$

$(x+4)(5x-3)$

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

8.63 × 10^-3

= 0.00863

Standard Form 3

Write in standard form:

43100

= 4.31 × 10⁴

Standard Form 4

Write in standard form:

0.0000524

= 5.24 × 10^-5

Sequence (Quadratic)

Find the n^th term:

$-6, -1, 6, 15, 26,$

$n^2+2n-9$

Standard Form 5

Multiply 7 × 10²
by 5 × 10⁶ and give the answer in standard form.

= 3.5 × 10⁹

Equations (Quadratic 1)

Solve:

$x^2-2x-8= 0$

$x = 4$ and $-2$

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 $e$ the subject of the formula
$f=g(e+h)$

$e=\frac{f}{g}-h$

Basic Division 1

Calculate the value of:

2064 ÷ 8

= 258

Number Sequences 2

What is the 8th:
a) Cube number; 512
b) Triangular number; 36
c) Fibonacci number. 21

Square Numbers

What is the square root of

100

10

Prime Numbers

What is the difference between the 6th and the 7th prime numbers?

17 - 13 = 4

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

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

Angle diagram b = 52

Angles with Parallels 2

Angle diagram i = 97

Rounding (1sf)

Round to one significant figure:
a) 45.61; 50
b) 280606; 300000
c) 89; 90
d) 0.00935; 0.009

Estimation

Round each value to one significant figure to make an estimate: $(194 + 3.5) \div 18$ $(200 + 4) \div 20 = 10.2$

Pie Charts (1)

A pie chart shows the colours of 18 books. What sector angle represents the
4 red books?
80°

Graph Linear (2)

What is the equation?

$y=5$

Pie Charts (2)

A pie chart shows the colours of 40 hats. How many green hats are represented
by a sector
angle of 306°?
34


	Teacher, do your students have access to computers? Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).