Refreshing Revision

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:

50

1, 2, 5, 10, 25, 50.

Multiples

Subtract the 7th from the 12th multiples of:

11

55

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) 67.41; 67.4
b) 515576; 516000
c) 0.002895; 0.00290

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 17cm, a height of 5cm and a top (parallel to base) of 7cm. 60cm2

Fractions (Adding)

Evaluate:

\( \frac{1}{3} + \frac{4}{6}\) \(= 1\)

Fractions (Multiplying)

Evaluate:

\( \frac{1}{3} × \frac{4}{6}\) \(= \frac{2}{9}\)

Fractions (Dividing)

Evaluate:

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

Circle (Vocabulary)

Name the red part.

Circle part Circle part

Venn Diagrams

Describe the red region.

Circle part Circle part

Shape Formulas

What is the formula?

Circle part Circle part

Formulas (Advanced)

What is it?

Circle part Circle part

Fraction to Percentage

Convert this fraction to a percentage to 3 significant figures.

\( \frac{5}{6}\) \(= 83.3\)%

Circle Area

Find the area of a circle that has a radius of 9cm. Give your answer to three significant figures.

254cm2

Circle Circumference

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

37.7cm2

Decimals (Adding)

Calculate the value of:

3.9 + 2.6

= 6.5

Decimals (Subtracting)

Calculate the value of:

6.2 − 4.9

= 1.3

Decimals (Multiplying)

Calculate the value of:

3.9 × 9.8

= 38.22

Decimals (Dividing)

Calculate the value of:

116.8 ÷ 16

= 7.3

Indices (Simple)

What is the value of:

33

= 27

Indices (Advanced)

What is the value of:

2-1

= 0.5

Basic Addition

Calculate the value of:

48 + 39

= 87

Basic Subtraction

Calculate the value of:

84 − 29

= 55

Basic Multiplication

Calculate the value of:

53 × 67

= 3551

Basic Division 2

Calculate the value of:

1170 ÷ 15

= 78

Percentage (Of)

Find the value of:

5% of 40

= 2

Standard Form 1

Find the value of:

9.96 × 102

= 996

Highest Common Factor

Find the highest common factor of thirty six and eight.

= 4

Times Tables (2-5)

9 × 5 = 45

7 × 3 = 21

3 × 5 = 15

8 × 5 = 40

6 × 3 = 18

4 × 4 = 16

5 × 5 = 25

2 × 5 = 10

Times Tables (2-12)

7 × 9 = 63

8 × 10 = 80

4 × 10 = 40

3 × 2 = 6

5 × 10 = 50

9 × 10 = 90

6 × 12 = 72

2 × 7 = 14

Times Tables (2)

9 × 2 = 18

3 × 2 = 6

7 × 2 = 14

6 × 2 = 12

5 × 2 = 10

4 × 2 = 8

8 × 2 = 16

2 × 2 = 4

Times Tables (3)

4 × 3 = 12

5 × 3 = 15

8 × 3 = 24

3 × 3 = 9

9 × 3 = 27

6 × 3 = 18

7 × 3 = 21

2 × 3 = 6

Times Tables (4)

9 × 4 = 36

7 × 4 = 28

6 × 4 = 24

3 × 4 = 12

4 × 4 = 16

8 × 4 = 32

5 × 4 = 20

2 × 4 = 8

Times Tables (5)

9 × 5 = 45

7 × 5 = 35

8 × 5 = 40

5 × 5 = 25

4 × 5 = 20

6 × 5 = 30

3 × 5 = 15

2 × 5 = 10

Times Tables (6)

4 × 6 = 24

6 × 6 = 36

7 × 6 = 42

8 × 6 = 48

3 × 6 = 18

5 × 6 = 30

9 × 6 = 54

2 × 6 = 12

Times Tables (7)

3 × 7 = 21

9 × 7 = 63

6 × 7 = 42

8 × 7 = 56

4 × 7 = 28

5 × 7 = 35

7 × 7 = 49

2 × 7 = 14

Times Tables (8)

4 × 8 = 32

8 × 8 = 64

6 × 8 = 48

7 × 8 = 56

3 × 8 = 24

9 × 8 = 72

5 × 8 = 40

2 × 8 = 16

Times Tables (9)

8 × 9 = 72

4 × 9 = 36

9 × 9 = 81

5 × 9 = 45

3 × 9 = 27

7 × 9 = 63

6 × 9 = 54

2 × 9 = 18

Times Tables (12)

9 × 12 = 108

7 × 12 = 84

4 × 12 = 48

3 × 12 = 36

6 × 12 = 72

8 × 12 = 96

5 × 12 = 60

2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{20}{35}\) \(= \frac{4}{7}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{3}{4} − \frac{7}{8}\) \(= 1\frac{7}{8}\)

Pythagoras

Find AC if AB = 5.1m and BC = 7m. 4.79m

Trigonometry (Angle)

Find angle ABC if AC = 6m and BC = 7.9m. 49.4o

Trigonometry (Side)

Find AB if angle ABC = 27o and BC = 4.3m. 3.83m

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.

\( \frac{4}{8}\) \(= 0.5\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.96\) = \( \frac{24}{25}\)

Percentage (Increase)


Increase £40 by 35%

£54

Lowest Common Multiple

What is the lowest common multiple of eight and sixteen.

= 16

Sequence (Arithmetic)

3,10,17,24,31...

Find the:
a) next term; 38
b) nth term; 7n - 4
c) term number 50; 346

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 £120 is invested for 7 years with a simple interest rate of 2%, find the amount of interest earned. £16.80

Interest (Compound)

If £180 is invested with an interest rate of 4% compounded annually, find the value of the investment after 9 years. £256.20

Currency Exchange

If £1 is worth $1.55, convert:

a) £100 to dollars; $155.00

b) $240 to pounds; £64.52

Coordinates (Midpoint)

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

\((4,-3) \text{ and } (16,3)\)

(10,0)

Gradient

What is the gradient of the line joining:

\((-8,4) \text{ and } (-3,7)\)

\(\frac{3}{5}\)

Coordinates (Square)

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

\((4,3),(9,6),(1,8)\)

(6,11)

Negative Numbers

a) 9 − 16 = -7
b) 9 × (-7) = -63
c) (9−21)(6−15) = 108
d) 63 ÷ (-7) = -9
e) (-9)2 = 81

Substitution

If p = 6, q = 22 and
r = -11 evaluate:

a) 2q − p = 38
b) pq + r = 121
c) p2 − 5q - r = -63

Equations (Type 1)

Solve:

\(3x = 15\)

\(x = 5\)

Equations (Type 2)

Solve:

\(2x -3= 5\)

\(x = 4\)

Equations (Type 3)

Solve:

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

\(x = 2\)

Equations (Type 4)

Solve:

\(4(4x +6)-9= 79\)

\(x = 4\)

Equations (Type 5)

Solve:

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

\(x = -0.3\)

Equations (Simultaneous 1)

Solve:

\(5x+5y = 35\)
\(2x-5y = -14\)

\(x = 3, y = 4\)

Equations (Simultaneous 2)

Solve:

\(2x-2y = 2\)
\(2x+8y = 42\)

\(x = 5, y = 4\)

Equations (Simultaneous 3)

Solve:

\(6x+7y = 100.5\)
\(4x-7y = -20.5\)

\(x = 8, y = 7.5\)

Sets (Union)

Find the union of:

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

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

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 193o. What bearing would it return on from B to A? 013o

Probability

A number is picked at random from the set

{1,2,3,4,5}

what is the probability it is even? \(\frac25\)

BIDMAS

Evaluate:

22 − 6 × 6 + 6

-26

Simplify

Simplify the following by collecting like terms:

\(3x+5x^2-8x+x^2\)

\(6x^2-5x\)

Ratio

Divide 112 in the ratio

5:3

70 and 42

Graph (Linear)

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:

40

2 x 2 x 2 x 5

Percentage (Reverse)

In a sale an item costs £162 after a 10% reduction. What was the original price?

£180

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?

Circle part Circle part

Time (Digital)

Sketch a clock face:

Circle part Circle part

Decimals (Recurring)

Write the following recurring decimal as a fraction in its lowest terms.

0.191919... \(\frac{19}{99}\)

Percentage (Decrease)


Decrease £180 by 25%

£135

Brackets (Linear)

Expand:

\(9(7x-8)\)

\(63x-72\)

Brackets (Quadratic)

Expand:

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

\(4x^2-4\)

Factorise (Linear)

Factorise:

\(15x-21\)

\(3(5x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2+x-12\)

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

Factorise (Quadratic 2)

Factorise:

\(5x^2+16x-16\)

\((x+4)(5x-4)\)

Circle Theorems

Which theorem?

Circle part Circle part

Standard Form 2

Find the value of:

2.13 × 10-4

= 0.000213

Standard Form 3

Write in standard form:

3910

= 3.91 × 103

Standard Form 4

Write in standard form:

0.0863

= 8.63 × 10-2

Sequence (Quadratic)

Find the nth term:

\(7, 22, 43, 70, 103, \)

\(3n^2+6n-2\)

Standard Form 5

Multiply 9 × 104
by 7 × 103 and give the answer in standard form.

= 6.3 × 108

Equations (Quadratic 1)

Solve:

\(x^2-x-20= 0\)

\(x = 5\) and \(-4\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

\(3x^2-5x-4 = 0\)

\(x = 2.26\) and \(-0.591\)

Polygon Angles

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

108°

Interior and Exterior angles

Change The Subject

Make \(f\) the subject of the formula
$$h=g(e-f)$$

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

Basic Division 1

Calculate the value of:

4734 ÷ 6

= 789

Number Sequences 2

What is the 7th:
a) Cube number; 343
b) Triangular number; 28
c) Fibonacci number. 13


A Mathematics Lesson Starter Of The Day


Share

Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry

  • 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.]

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.
Click here to enter your comments.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 3.3 out of 5 based on 234 votes.


Previous Day | This starter is for 9 April | Next Day

 

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.

This Starter is called Refreshing Revision because every time you refresh the page you get different revision questions.

Regularly use this Starter to keep that important learning from being forgotten. Here is the web address (URL) for the version of this page with your currently selected concepts:

Copy and paste the URL above into your lesson plan or scheme of work.

For more ideas on revision there are plenty of tips, suggestions and links on the Mathematics Revision page.

Answers



GCSE Revision and Practice

Whatever exam board you use for GCSE Mathematics, this book by David Rayner remains an all-round winner. With this latest edition presented in full colour and completely updated for the new GCSE(9-1) specifications, this uniquely effective text continues to increase your chance of obtaining a good grade.

This book is targeted at the Higher tier GCSE, and provides a wealth of practice with careful progression, alongside substantial revision support for the new-style grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the run-up to exams. more...


Laptops In Lessons

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).

Laptops In Lessons

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

Transum.org/go/?Start=April9

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

Transum.org/go/?to=topictest

Student Activity

 


Teacher:
Scroll down the
page to see how
this Starter can be customised so that it
is just right for
your class.

Apple

©1997-2017 WWW.TRANSUM.ORG