Refreshing Revision

Number

What is the 12th:
a) Odd number; 23
b) Square number; 144
c) Prime number. 37

Factors

Find all the factors of:

22

1, 2, 11, 22.

Multiples

Subtract the 6th from the 10th multiples of:

4

16

Polygons

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

Hexagon, Heptagon and Octagon (all regular)

Rounding

Round the following numbers to three significant figures:
a) 85.93; 85.9
b) 596671; 597000
c) 0.001995; 0.00200

Area of a Triangle

Find the area of a triangle that has a base of 3cm and a height of 6cm.

9cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 12cm, a height of 12cm and a top (parallel to base) of 6cm. 108cm2

Fractions (Adding)

Evaluate:

\( \frac{4}{5} + \frac{7}{9}\) \(= 1\frac{26}{45}\)

Fractions (Multiplying)

Evaluate:

\( \frac{3}{5} × \frac{6}{7}\) \(= \frac{18}{35}\)

Fractions (Dividing)

Evaluate:

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

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.

\( \frac{2}{6}\) \(= 33.3\)%

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:

3.8 + 5.9

= 9.7

Decimals (Subtracting)

Calculate the value of:

7.3 − 1.7

= 5.6

Decimals (Multiplying)

Calculate the value of:

6.4 × 7.8

= 49.92

Decimals (Dividing)

Calculate the value of:

37.4 ÷ 17

= 2.2

Indices (Simple)

What is the value of:

13

= 1

Indices (Advanced)

What is the value of:

1-3

= 1

Basic Addition

Calculate the value of:

67 + 84

= 151

Basic Subtraction

Calculate the value of:

93 − 29

= 64

Basic Multiplication

Calculate the value of:

55 × 94

= 5170

Basic Division

Calculate the value of:

1020 ÷ 15

= 68

Percentage (Of)

Find the value of:

70% of 320

= 224

Standard Form 1

Find the value of:

3.51 × 104

= 35100

Highest Common Factor

Find the highest common factor of sixteen and six.

= 2

Times Tables (2-5)

8 × 5 = 40

6 × 2 = 12

3 × 3 = 9

7 × 5 = 35

5 × 3 = 15

9 × 5 = 45

4 × 4 = 16

2 × 4 = 8

Times Tables (2-12)

7 × 3 = 21

3 × 5 = 15

8 × 12 = 96

6 × 12 = 72

5 × 12 = 60

9 × 9 = 81

4 × 11 = 44

2 × 4 = 8

Times Tables (2)

6 × 2 = 12

4 × 2 = 8

8 × 2 = 16

9 × 2 = 18

5 × 2 = 10

3 × 2 = 6

7 × 2 = 14

2 × 2 = 4

Times Tables (3)

5 × 3 = 15

4 × 3 = 12

8 × 3 = 24

3 × 3 = 9

7 × 3 = 21

9 × 3 = 27

6 × 3 = 18

2 × 3 = 6

Times Tables (4)

7 × 4 = 28

9 × 4 = 36

6 × 4 = 24

4 × 4 = 16

5 × 4 = 20

8 × 4 = 32

3 × 4 = 12

2 × 4 = 8

Times Tables (5)

6 × 5 = 30

8 × 5 = 40

4 × 5 = 20

3 × 5 = 15

7 × 5 = 35

5 × 5 = 25

9 × 5 = 45

2 × 5 = 10

Times Tables (6)

5 × 6 = 30

4 × 6 = 24

9 × 6 = 54

8 × 6 = 48

3 × 6 = 18

7 × 6 = 42

6 × 6 = 36

2 × 6 = 12

Times Tables (7)

4 × 7 = 28

8 × 7 = 56

5 × 7 = 35

3 × 7 = 21

7 × 7 = 49

9 × 7 = 63

6 × 7 = 42

2 × 7 = 14

Times Tables (8)

5 × 8 = 40

7 × 8 = 56

6 × 8 = 48

3 × 8 = 24

8 × 8 = 64

9 × 8 = 72

4 × 8 = 32

2 × 8 = 16

Times Tables (9)

3 × 9 = 27

7 × 9 = 63

5 × 9 = 45

9 × 9 = 81

4 × 9 = 36

6 × 9 = 54

8 × 9 = 72

2 × 9 = 18

Times Tables (12)

6 × 12 = 72

5 × 12 = 60

9 × 12 = 108

3 × 12 = 36

8 × 12 = 96

4 × 12 = 48

7 × 12 = 84

2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{12}{18}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find BC if AB = 3m and AC = 4m. 5.00m

Trigonometry (Angle)

Find angle ABC if AC = 5.4m and AB = 6.8m. 38.5o

Trigonometry (Side)

Find AC if angle BCA = 57o and AB = 4.4m. 2.86m

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.

\( \frac{2}{3}\) \(= 0.667\)

Decimal to Fraction

Convert this decimal to a fraction.

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

Percentage (Increase)


Increase £100 by 40%

£140

Lowest Common Multiple

What is the lowest common multiple of six and fourteen.

= 42

Sequence (Arithmetic)

6,17,28,39,50...

Find the:
a) next term; 61
b) nth term; 11n - 5
c) term number 29; 314

Sequence (Geometric)

4,12,36,108,324...

Find the:
a) next term; 972
b) nth term; 4 × 3n-1
c) term number 10; 78732

Interest (Simple)

If £160 is invested for 9 years with a simple interest rate of 1%, find the amount of interest earned. £14.40

Interest (Compound)

If £240 is invested with an interest rate of 5% compounded annually, find the value of the investment after 6 years. £321.62

Currency Exchange

If £1 is worth $1.56, convert:

a) £140 to dollars; $218.40

b) $120 to pounds; £89.74

Coordinates (Midpoint)

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

\((-2,5) \text{ and } (6,13)\)

(2,9)

Gradient

What is the gradient of the line joining:

\((-1,6) \text{ and } (5,9)\)

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

Coordinates (Square)

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

\((2,5),(6,10),(-3,9)\)

(1,14)

Negative Numbers

a) 9 − 21 = -12
b) 9 × (-9) = -81
c) (12−23)(12−24) = 132
d) 81 ÷ (-9) = -9
e) (-6)2 = 36

Substitution

If p = 6, q = 26 and
r = -10 evaluate:

a) 2q − p = 46
b) pq + r = 146
c) p2 − 5q - r = -84

Equations (Type 1)

Solve:

\(4x = 8\)

\(x = 2\)

Equations (Type 2)

Solve:

\(3x -7= 5\)

\(x = 4\)

Equations (Type 3)

Solve:

\(6x +5= 2x + 25\)

\(x = 5\)

Equations (Type 4)

Solve:

\(2(3x -5)-12= 8\)

\(x = 5\)

Equations (Type 5)

Solve:

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

\(x = -1\)

Equations (Simultaneous 1)

Solve:

\(4x-4y = 8\)
\(3x+4y = 20\)

\(x = 4, y = 2\)

Equations (Simultaneous 2)

Solve:

\(2x+4y = 34\)
\(4x+16y = 124\)

\(x = 3, y = 7\)

Equations (Simultaneous 3)

Solve:

\(3x+4y = -16\)
\(7x+7y = -24.5\)

\(x = 2, y = -5.5\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

{5,6,7,8,9,10} and
{3,6,9,12,15}

{6,9}

Bearings

A plane flies from point A to point B on a bearing of 312o. What bearing would it return on from B to A? 132o

Probability

A number is picked at random from the set

{2,4,6,8,10}

what is the probability it is even? 1

BIDMAS

Evaluate:

5 + (5 × 42 − 3)

82

Simplify

Simplify the following by collecting like terms:

\(3a+5b-3a+4b^2\)

\(5b+4b^2\)

Ratio

Divide 208 in the ratio

9:7

117 and 91

Graph (Linear)

Draw a rough sketch of the graph of:

\(y=x-1\)

Gradient 1
y intercept -1

Prime Factors

Express the following number as the product of prime numbers:

22

2 x 11

Percentage (Reverse)

In a sale an item costs £48 after a 40% reduction. What was the original price?

£80

Averages

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

2,4,6,8,10

Mean = 6, no mode,
median = 6 and range = 8

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.

0.111111... \(\frac{1}{9}\)

Percentage (Decrease)


Decrease £140 by 10%

£126

Brackets (Linear)

Expand:

\(9(3x-2)\)

\(27x-18\)

Brackets (Quadratic)

Expand:

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

\(4x^2-4x-8\)

Factorise (Linear)

Factorise:

\(5x-40\)

\(5(1x-8)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-9\)

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

Factorise (Quadratic 2)

Factorise:

\(3x^2+2x-1\)

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

Circle Theorems

Which theorem?

Circle part Circle part

Standard Form 2

Find the value of:

7.62 × 10-4

= 0.000762

Standard Form 3

Write in standard form:

190

= 1.9 × 102

Standard Form 4

Write in standard form:

0.0000804

= 8.04 × 10-5

Sequence (Quadratic)

Find the nth term:

\(15, 27, 45, 69, 99, \)

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

Standard Form 5

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

= 6.3 × 108

Equations (Quadratic 1)

Solve:

\(x^2-x-6= 0\)

\(x = 3\) and \(-2\)

Equations (Quadratic 2)

Solve this equation giving the solutions to 3 significant figures:

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

\(x = 1.27\) and \(-0.472\)

Polygon Angles

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

108°

Interior and Exterior angles

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.

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 154 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



Access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

Graphic Display Calculator

This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.

For the young people in your life it is a great investment. Bought as a gift for a special occasion but useful for many years to come as the young person turns into an A-level candidate then works their way through university. more...

iPad Air

The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.

You have to hold iPad Air to believe it. It’s just 7.5 millimeters thin and weighs just one pound. The stunning Retina display sits inside thinner bezels, so all you see is your content. And an incredible amount of power lies inside the sleek enclosure. So you can do so much more. With so much less. more...

Before giving an iPad as a gift you could add a link to iPad Maths to the home screen.

Click the images above to see all the details of these items and to buy them online.


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