Doon Ow!

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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:

28

1, 2, 4, 7, 14, 28.

Multiples

Subtract the 6th from the 9th multiples of:

4

12

Polygons

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

Square, Pentagon and Hexagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 83.82; 83.8
b) 904533; 905000
c) 29; 29.0
d) 0.002995; 0.00300

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 13cm, a height of 9cm and a top (parallel to base) of 7cm. 90cm2

Fractions (Adding)

Evaluate:

\( \frac{3}{6} + \frac{9}{10}\) \(= 1\frac{2}{5}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

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

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.

\( \frac{1}{4}\) \(= 25\)%

Circle Area

Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.

50.3cm2

Circle Circumference

Find the circumference of a circle that has a radius of 4cm. Give your answer to three significant figures.

25.1cm

Decimals (Adding)

Calculate the value of:

2.9 + 6.7

= 9.6

Decimals (Subtracting)

Calculate the value of:

6.2 − 3.6

= 2.6

Decimals (Multiplying)

Calculate the value of:

8.4 × 4.8

= 40.32

Decimals (Dividing)

Calculate the value of:

166.6 ÷ 17

= 9.8

Indices (Simple)

What is the value of:

53

= 125

Indices (Advanced)

What is the value of:

\(2^{-3}\)

\(= \frac{1}{8}\)

Basic Addition

Calculate the value of:

67 + 57

= 124

Basic Subtraction

Calculate the value of:

92 − 25

= 67

Basic Multiplication

Calculate the value of:

25 × 38

= 950

Basic Division 2

Calculate the value of:

1298 ÷ 22

= 59

Percentage (Of)

Find the value of:

60% of 380

= 228

Standard Form 1

Find the value of:

2.22 × 102

= 222

Highest Common Factor

Find the highest common factor of forty five and twenty.

= 5

Times Tables (2-5)

6 × 5 = 30

5 × 4 = 20

8 × 5 = 40

7 × 4 = 28

9 × 2 = 18

3 × 2 = 6

4 × 3 = 12

2 × 5 = 10

Times Tables (2-12)

3 × 8 = 24

7 × 12 = 84

6 × 12 = 72

9 × 5 = 45

4 × 2 = 8

8 × 12 = 96

5 × 6 = 30

2 × 6 = 12

Times Tables (2)

8 × 2 = 16

6 × 2 = 12

9 × 2 = 18

4 × 2 = 8

7 × 2 = 14

5 × 2 = 10

3 × 2 = 6

2 × 2 = 4

Times Tables (3)

4 × 3 = 12

7 × 3 = 21

8 × 3 = 24

5 × 3 = 15

6 × 3 = 18

9 × 3 = 27

3 × 3 = 9

2 × 3 = 6

Times Tables (4)

9 × 4 = 36

3 × 4 = 12

5 × 4 = 20

6 × 4 = 24

4 × 4 = 16

8 × 4 = 32

7 × 4 = 28

2 × 4 = 8

Times Tables (5)

8 × 5 = 40

7 × 5 = 35

6 × 5 = 30

5 × 5 = 25

4 × 5 = 20

3 × 5 = 15

9 × 5 = 45

2 × 5 = 10

Times Tables (6)

7 × 6 = 42

4 × 6 = 24

3 × 6 = 18

8 × 6 = 48

5 × 6 = 30

9 × 6 = 54

6 × 6 = 36

2 × 6 = 12

Times Tables (7)

5 × 7 = 35

8 × 7 = 56

6 × 7 = 42

7 × 7 = 49

4 × 7 = 28

9 × 7 = 63

3 × 7 = 21

2 × 7 = 14

Times Tables (8)

9 × 8 = 72

3 × 8 = 24

4 × 8 = 32

5 × 8 = 40

8 × 8 = 64

7 × 8 = 56

6 × 8 = 48

2 × 8 = 16

Times Tables (9)

9 × 9 = 81

4 × 9 = 36

6 × 9 = 54

3 × 9 = 27

7 × 9 = 63

8 × 9 = 72

5 × 9 = 45

2 × 9 = 18

Times Tables (12)

5 × 12 = 60

8 × 12 = 96

9 × 12 = 108

4 × 12 = 48

3 × 12 = 36

6 × 12 = 72

7 × 12 = 84

2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{8}{12}\) \(= \frac{2}{3}\)

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find BC if AB = 4.1m and AC = 5.1m. 6.54m

Trigonometry (Angle)

Find angle BCA if AB = 5m and AC = 6.3m. 38.4o

Trigonometry (Side)

Find AB if angle ABC = 48o and BC = 3.6m. 2.41m

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.

\( \frac{1}{4}\) \(= 0.25\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.1\) = \( \frac{1}{10}\)

Percentage (Increase)


Increase £180 by 35%

£243

Lowest Common Multiple

What is the lowest common multiple of eight and twelve.

= 24

Sequence (Arithmetic)

5,12,19,26,33...

Find the:
a) next term; 40
b) nth term; 7n - 2
c) term number 52; 362

Sequence (Geometric)

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

Find the:
a) next term; 160
b) nth term; 5 × 2n-1
c) term number 12; 10240

Interest (Simple)

If £220 is invested for 7 years with a simple interest rate of 5%, find the amount of interest earned. £77.00

Interest (Compound)

If £100 is invested with an interest rate of 2% compounded annually, find the value of the investment after 4 years. £108.24

Currency Exchange

If £1 is worth $1.33, convert:

a) £180 to dollars; $239.40

b) $100 to pounds; £75.19

Coordinates (Midpoint)

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

\((8,6) \text{ and } (18,18)\)

(13,12)

Gradient

What is the gradient of the line joining:

\((6,-5) \text{ and } (9,0)\)

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

Coordinates (Square)

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

\((2,1),(7,6),(-3,6)\)

(2,11)

Negative Numbers

a) 5 − 15 = -10
b) 5 × (-10) = -50
c) (6−15)(7−12) = 45
d) 50 ÷ (-10) = -5
e) (-8)2 = 64

Substitution

If p = 6, q = 21 and
r = -5 evaluate:

a) 2q − p = 36
b) pq + r = 121
c) p2 − 5q - r = -64

Equations (Type 1)

Solve:

\(5x = 20\)

\(x = 4\)

Equations (Type 2)

Solve:

\(3x -7= 2\)

\(x = 3\)

Equations (Type 3)

Solve:

\(5x +3= 4x + 8\)

\(x = 5\)

Equations (Type 4)

Solve:

\(5(4x -2)-6= 144\)

\(x = 8\)

Equations (Type 5)

Solve:

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

\(x = -1\)

Equations (Simultaneous 1)

Solve:

\(4x+3y = 34\)
\(3x+3y = 27\)

\(x = 7, y = 2\)

Equations (Simultaneous 2)

Solve:

\(4x+3y = 21\)
\(7x-12y = -15\)

\(x = 3, y = 3\)

Equations (Simultaneous 3)

Solve:

\(5x+3y = 15\)
\(3x-2y = -0.5\)

\(x = 1.5, y = 2.5\)

Sets (Union)

Find the union of:

{6,7,8,9,10} and
{1,3,6,10,15}

{1,3,6,7,8,9,10,15}

Sets (Intersection)

Find the intersection of:

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

{5,6,7,8}

Bearings

A plane flies from point A to point B on a bearing of 334o. What bearing would it return on from B to A? 154o

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:

4 + (9 × 42 − 5)

143

Simplify

Simplify the following by collecting like terms:

\(5a−5−4a−5\)

\(a-10\)

Ratio

Divide 50 in the ratio

3:2

30 and 20

Graph Linear (1)

Draw a rough sketch of the graph of:

\(y=-x-2\)

Gradient -1
y intercept -2

Prime Factors

Express the following number as the product of prime numbers:

24

2 x 2 x 2 x 3

Percentage (Reverse)

In a sale an item costs £112 after a 20% reduction. What was the original price?

£140

Averages

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

2,6,12,6,14

Mean = 8, mode = 6,
median = 6 and range = 12

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.

0.464646... \(\frac{46}{99}\)

Percentage (Decrease)


Decrease £40 by 5%

£38

Brackets (Linear)

Expand:

\(5(9x-8)\)

\(45x-40\)

Brackets (Quadratic)

Expand:

\((2x+4)(2x-1)\)

\(4x^2+6x-4\)

Factorise (Linear)

Factorise:

\(27x-15\)

\(3(9x-5)\)

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

\(4x^2+13x-12\)

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

Circle Theorems

Which theorem?

Circle part Circle part

Standard Form 2

Find the value of:

9.85 × 10-5

= 0.0000985

Standard Form 3

Write in standard form:

9230000

= 9.23 × 106

Standard Form 4

Write in standard form:

0.0000347

= 3.47 × 10-5

Sequence (Quadratic)

Find the nth term:

\(4, 15, 32, 55, 84, \)

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

Standard Form 5

Multiply 4 × 105
by 8 × 105 and give the answer in standard form.

= 3.2 × 1011

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:

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

\(x = 2.14\) and \(-0.468\)

Polygon Angles

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

140°

Interior and Exterior angles

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:

2931 ÷ 3

= 977

Number Sequences 2

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

Square Numbers

What is the square of

4

16

Prime Numbers

What are the next three prime numbers after
23

29, 31, 37

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 \(x\).

Angle diagram Angle diagram

Decimals (Ordering)

Write down these numbers: 8.08, 8.88, 0.8, 8.8, 0.88, 8, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,

Lengths (Ordering)

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

Capacities (Ordering)

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

Angles with Parallels 1

Angle diagram g = 122

Angles with Parallels 2

Angle diagram i = 97

Rounding (1sf)

Round to one significant figure:
a) 82.18; 80
b) 591607; 600000
c) 16; 20
d) 0.00378; 0.004

Estimation

Round each value to one significant figure to make an estimate:$$42 + 6.5 \times 23$$\(40 + 7 \times 20 = 180\)

Pie Charts (1)

A pie chart shows the colours of 60 books. What sector angle represents the
22 red books?
132°

Graph Linear (2)

Straight Line Graph

What is the equation?

\(y=3-0.5x\)

Pie Charts (2)

A pie chart shows the colours of 36 hats. How many green hats are represented
by a sector
angle of 110°?
11

A Mathematics Lesson Starter Of The Day


Topics: Starter | Mixed

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    Previous Day | This starter is for 10 October | Next Day

     

    This Starter is called Doon Ow! but it is pronounced Do Now!

    Project this page for all in the class to see. Use the arrow buttons to select questions for everyone to answer. Double click a panel to make (limited) edits to the question. Choose a number of minutes for the timer:

    A similar Starter with the same questions listed by topic is called Refreshing Revision. This will be a better option for you if you want a more structured way to choose the questions presented to your class. This page also allows you to save your choices.

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

    Answers



    Online Maths Shop

    Laptops In Lessons

    Teacher, do your students have access to computers such as tablets, iPads or Laptops?  This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments:

    Transum.org/go/?Start=October10

    However it would be better to assign one of the student interactive activities below.

    Laptops In Lessons

     

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

    Transum.org/go/?Num=464

    Student Activity

     

    Try this Uniqueness Game with your class.

    Transum.org/Intro/?ID=1078

    Uniqueness Game

     

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    Transum.org/Intro/?ID=997

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