### Number Sequences 1

What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11

### Factors

Find all the factors of:

30

1, 2, 3, 5, 6, 10, 15, 30.

### Multiples

Subtract the 6th from the 10th multiples of:

4

16

### 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

Round the following numbers to three significant figures:
a) 92.67; 92.7
b) 759649; 760000
c) 0.003695; 0.00370

### Area of a Triangle

Find the area of a triangle that has a base of 4cm and a height of 8cm.

16cm2

### Area of a Trapezium

Find the area of a trapezium that has a base of 11cm, a height of 5cm and a top (parallel to base) of 5cm. 40cm2

### Fractions (Adding)

Evaluate:

$$\frac{1}{2} + \frac{3}{6}$$ $$= 1$$

### Fractions (Multiplying)

Evaluate:

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

### Fractions (Dividing)

Evaluate:

$$\frac{3}{4} ÷ \frac{8}{6}$$ $$= \frac{9}{16}$$

### Circle (Vocabulary)

Name the red part.

### Venn Diagrams

Describe the red region.

### Shape Formulas

What is the formula?

What is it?

### Fraction to Percentage

Convert this fraction to a percentage.

$$\frac{2}{5}$$ $$= 40$$%

### Circle Area

Find the area of a circle that has a radius of 3cm. Give your answer to three significant figures.

28.3cm2

### Circle Circumference

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

62.8cm2

### Decimals (Adding)

Calculate the value of:

2.8 + 2.9

= 5.7

### Decimals (Subtracting)

Calculate the value of:

7.2 − 3.5

= 3.7

### Decimals (Multiplying)

Calculate the value of:

8.4 × 6.8

= 57.12

### Decimals (Dividing)

Calculate the value of:

156.6 ÷ 18

= 8.7

### Indices (Simple)

What is the value of:

32

= 9

### Indices (Advanced)

What is the value of:

4-3

= 0.015625

### Basic Addition

Calculate the value of:

59 + 97

= 156

### Basic Subtraction

Calculate the value of:

54 − 28

= 26

### Basic Multiplication

Calculate the value of:

99 × 42

= 4158

### Basic Division 2

Calculate the value of:

1022 ÷ 14

= 73

### Percentage (Of)

Find the value of:

45% of 120

= 54

### Standard Form 1

Find the value of:

6.81 × 102

= 681

### Highest Common Factor

Find the highest common factor of sixteen and eight.

= 8

### Times Tables (2-5)

 5 × 3 = 15 9 × 5 = 45 4 × 2 = 8 7 × 4 = 28 3 × 2 = 6 6 × 3 = 18 8 × 4 = 32 2 × 4 = 8

### Times Tables (2-12)

 3 × 3 = 9 5 × 12 = 60 7 × 11 = 77 6 × 12 = 72 8 × 11 = 88 9 × 11 = 99 4 × 2 = 8 2 × 6 = 12

### Times Tables (2)

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

### Times Tables (3)

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

### Times Tables (4)

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

### Times Tables (5)

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

### Times Tables (6)

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

### Times Tables (7)

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

### Times Tables (8)

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

### Times Tables (9)

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

### Times Tables (12)

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

### Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{9}{15}$$ $$= \frac{3}{5}$$

### Fractions (Mixed)

Evaluate:

$$2\frac{2}{3} − \frac{5}{6}$$ $$= 1\frac{5}{6}$$

### Pythagoras

Find AB if AC = 5m and BC = 6.9m. 4.75m

### Trigonometry (Angle)

Find angle BCA if AB = 4.1m and BC = 5.5m. 48.2o

### Trigonometry (Side)

Find AB if angle ABC = 64o and BC = 5.1m. 2.24m

### 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.

$$\frac{4}{6}$$ $$= 0.667$$

### Decimal to Fraction

Convert this decimal to a fraction.

$$0.04$$ = $$\frac{1}{25}$$

### Percentage (Increase)

Increase £120 by 15%

£138

### Lowest Common Multiple

What is the lowest common multiple of twelve and twenty one.

= 84

### Sequence (Arithmetic)

3,12,21,30,39...

Find the:
a) next term; 48
b) nth term; 9n - 6
c) term number 45; 399

### Sequence (Geometric)

6,18,54,162,486...

Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 10; 118098

### Interest (Simple)

If £160 is invested for 5 years with a simple interest rate of 4%, find the amount of interest earned. £32.00

### Interest (Compound)

If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 8 years. £246.34

### Currency Exchange

If £1 is worth $1.5, convert: a) £100 to dollars;$150.00

b) \$180 to pounds; £66.67

### Coordinates (Midpoint)

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

$$(-9,3) \text{ and } (-1,9)$$

(-5,6)

### Gradient

What is the gradient of the line joining:

$$(5,1) \text{ and } (9,4)$$

$$\frac{3}{4}$$

### Coordinates (Square)

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

$$(4,1),(9,4),(1,6)$$

(6,9)

### Negative Numbers

a) 10 − 17 = -7
b) 10 × (-5) = -50
c) (5−17)(7−19) = 144
d) 50 ÷ (-5) = -10
e) (-6)2 = 36

### Substitution

If p = 5, q = 23 and
r = -12 evaluate:

a) 2q − p = 41
b) pq + r = 103
c) p2 − 5q - r = -78

### Equations (Type 1)

Solve:

$$2x = 6$$

$$x = 3$$

### Equations (Type 2)

Solve:

$$5x -9= 16$$

$$x = 5$$

### Equations (Type 3)

Solve:

$$8x -3= 6x + 7$$

$$x = 5$$

### Equations (Type 4)

Solve:

$$3(3x -4)-5= 10$$

$$x = 3$$

### Equations (Type 5)

Solve:

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

$$x = -2$$

### Equations (Simultaneous 1)

Solve:

$$5x+4y = 27$$
$$2x-4y = -6$$

$$x = 3, y = 3$$

### Equations (Simultaneous 2)

Solve:

$$2x+3y = 20$$
$$3x-6y = -12$$

$$x = 4, y = 4$$

### Equations (Simultaneous 3)

Solve:

$$5x+2y = 15$$
$$5x+5y = 7.5$$

$$x = 4, y = -2.5$$

### Sets (Union)

Find the union of:

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

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

### Sets (Intersection)

Find the intersection of:

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

{5,7,9}

### Bearings

A plane flies from point A to point B on a bearing of 131o. What bearing would it return on from B to A? 311o

### Probability

A number is picked at random from the set

{5,6,7,8,9,10}

what is the probability it is even? $$\frac12$$

### BIDMAS

Evaluate:

(14 − 6)2 + 5 × 6

94

### Simplify

Simplify the following by collecting like terms:

$$5a−5−4a−5$$

$$a-10$$

### Ratio

Divide 70 in the ratio

9:5

45 and 25

### Graph (Linear)

Draw a rough sketch of the graph of:

$$2y=x-2$$

Gradient 0.5
y intercept -1

### Prime Factors

Express the following number as the product of prime numbers:

45

3 x 3 x 5

### Percentage (Reverse)

In a sale an item costs £85 after a 15% reduction. What was the original price?

£100

### Averages

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

6,7,8,9,10

Mean = 8, no mode,
median = 8 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.

0.545454... $$\frac{6}{11}$$

### Percentage (Decrease)

Decrease £120 by 40%

£72

### Brackets (Linear)

Expand:

$$2(7x-4)$$

$$14x-8$$

### Brackets (Quadratic)

Expand:

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

$$12x^2+4x-16$$

### Factorise (Linear)

Factorise:

$$9x-12$$

$$3(3x-4)$$

### Factorise (Quadratic 1)

Factorise:

$$x^2-9$$

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

### Factorise (Quadratic 2)

Factorise:

$$3x^2+7x-6$$

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

Which theorem?

### Standard Form 2

Find the value of:

2.6 × 10-2

= 0.026

### Standard Form 3

Write in standard form:

561000

= 5.61 × 105

### Standard Form 4

Write in standard form:

0.0000146

= 1.46 × 10-5

### Sequence (Quadratic)

Find the nth term:

$$16, 27, 42, 61, 84,$$

$$2n^2+5n+9$$

### Standard Form 5

Multiply 5 × 103
by 8 × 102 and give the answer in standard form.

= 4 × 106

### 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:

$$3x^2+3x-1 = 0$$

$$x = 0.264$$ and $$-1.26$$

### Polygon Angles

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

51.4°

### Change The Subject

Make $$h$$ the subject of the formula
$$e=\frac{h}{4}-5$$

$$h=4(e+5)$$

### Basic Division 1

Calculate the value of:

3227 ÷ 7

= 461

### Number Sequences 2

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

### Square Numbers

What is the difference between the 10th and the 11th square numbers?

21

### Prime Numbers

What are the three largest prime numbers less than
11

7, 5, 3

### 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.

## A Mathematics Lesson Starter Of The Day

Share
• Jan, South Canterbury
•
• Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you.
• Barbara Schindler, Newton Rigg College
•
• I use Refreshing Revision a lot but today all the brackets and fractions keep coming up 'jumbled' . There are curly brackets, part words / 's in odd places and it is impossible to make out the question. It is doing this on 2 computers I have tried. Can you help? thank you.

[Transum: Sorry to hear about this problem Barbara. I have tested it from here and it seems to be working OK. Please take a look at the MathJax FAQ. Many apologies for the inconvenience.]
• Lesley, UK
•
• Answers for the starter would be great so students can get immediate feedback and become independent learners.

[Thanks for your comments Lesley. The answers are only available to signed-in teachers and parents I'm afraid. I you are a subscriber and are projecting this Starter for the whole class to see you can scroll down the page and show the same questions with the answers included in red.]
• Mrs B, Stockport
•
• Refreshing Revision really useful resource, that I have actually used for Ks2 revision as some topics are appropriate. I'd love to see either ks2 version, with purely ks2 SATs level topics or adding them to the current version.

[Transum: Thanks so much for your feedback Mrs B. If you could send me a list of your top ten ideas for topic you would like to see added I will work on it]
• Mark Adams, St Peters RC School Solihull
•
• It would be great if these questions came with answers as well.

[Transum: The answers to Transum activities are available to those signed in to their Transum subscription account. You can sign up for an account here.]

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
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## Concept Selection

Tick (or untick) the boxes above to select the concepts you want to be included in this Starter. The display at the top of this page will change instantly to show your choices. You can also drag the panels above so that the questions are ordered to meet your needs.

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## Have you read Craig's book yet?

Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

"How I wish I'd taught Maths" is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.

## Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

 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).

Here a concise URL for a version of this page without the comments.

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Here is the URL which will take them to a related student activity.

Transum.org/go/?to=topictest

Teacher:
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page to see how
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