Doon Ow!

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Number Sequences 1

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

Factors

Find all the factors of:

29

1, 29.

Multiples

Subtract the 4th from the 7th multiples of:

8

24

Polygons

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

Heptagon, Octagon and Nonagon (all regular)

Rounding (3sf)

Round to three significant figures:
a) 43.79; 43.8
b) 801749; 802000
c) 68; 68.0
d) 0.006895; 0.00690

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 11cm.

33cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 10cm, a height of 9cm and a top (parallel to base) of 4cm. 63cm2

Fractions (Adding)

Evaluate:

\( \frac{4}{7} + \frac{9}{11}\) \(= 1\frac{30}{77}\)

Fractions (Multiplying)

Evaluate:

\( \frac{2}{4} × \frac{5}{6}\) \(= \frac{5}{12}\)

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 to 3 significant figures.

\( \frac{2}{3}\) \(= 66.7\)%

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 9cm. Give your answer to three significant figures.

56.5cm

Decimals (Adding)

Calculate the value of:

8.9 + 9.7

= 18.6

Decimals (Subtracting)

Calculate the value of:

8.1 − 2.8

= 5.3

Decimals (Multiplying)

Calculate the value of:

2.9 × 3.7

= 10.73

Decimals (Dividing)

Calculate the value of:

132.8 ÷ 16

= 8.3

Indices (Simple)

What is the value of:

32

= 9

Indices (Advanced)

What is the value of:

\(4^{\frac{1}{2}}\)

\(= 2\)

Basic Addition

Calculate the value of:

85 + 78

= 163

Basic Subtraction

Calculate the value of:

93 − 25

= 68

Basic Multiplication

Calculate the value of:

59 × 83

= 4897

Basic Division 2

Calculate the value of:

1001 ÷ 13

= 77

Percentage (Of)

Find the value of:

55% of 220

= 121

Standard Form 1

Find the value of:

3.9 × 105

= 390000

Highest Common Factor

Find the highest common factor of twelve and ten.

= 2

Times Tables (2-5)

6 × 4 = 24

9 × 4 = 36

4 × 3 = 12

5 × 2 = 10

7 × 5 = 35

3 × 4 = 12

8 × 4 = 32

2 × 4 = 8

Times Tables (2-12)

3 × 4 = 12

4 × 5 = 20

9 × 4 = 36

7 × 6 = 42

8 × 11 = 88

5 × 4 = 20

6 × 7 = 42

2 × 9 = 18

Times Tables (2)

7 × 2 = 14

5 × 2 = 10

3 × 2 = 6

8 × 2 = 16

9 × 2 = 18

4 × 2 = 8

6 × 2 = 12

2 × 2 = 4

Times Tables (3)

7 × 3 = 21

8 × 3 = 24

6 × 3 = 18

9 × 3 = 27

5 × 3 = 15

4 × 3 = 12

3 × 3 = 9

2 × 3 = 6

Times Tables (4)

5 × 4 = 20

3 × 4 = 12

8 × 4 = 32

6 × 4 = 24

7 × 4 = 28

4 × 4 = 16

9 × 4 = 36

2 × 4 = 8

Times Tables (5)

8 × 5 = 40

3 × 5 = 15

9 × 5 = 45

7 × 5 = 35

6 × 5 = 30

4 × 5 = 20

5 × 5 = 25

2 × 5 = 10

Times Tables (6)

7 × 6 = 42

6 × 6 = 36

8 × 6 = 48

5 × 6 = 30

4 × 6 = 24

9 × 6 = 54

3 × 6 = 18

2 × 6 = 12

Times Tables (7)

8 × 7 = 56

7 × 7 = 49

6 × 7 = 42

3 × 7 = 21

5 × 7 = 35

4 × 7 = 28

9 × 7 = 63

2 × 7 = 14

Times Tables (8)

5 × 8 = 40

3 × 8 = 24

7 × 8 = 56

8 × 8 = 64

4 × 8 = 32

9 × 8 = 72

6 × 8 = 48

2 × 8 = 16

Times Tables (9)

8 × 9 = 72

9 × 9 = 81

7 × 9 = 63

4 × 9 = 36

5 × 9 = 45

6 × 9 = 54

3 × 9 = 27

2 × 9 = 18

Times Tables (12)

3 × 12 = 36

8 × 12 = 96

6 × 12 = 72

7 × 12 = 84

5 × 12 = 60

4 × 12 = 48

9 × 12 = 108

2 × 12 = 24

Fractions (Equivalent)

Write this fraction in its simplest form:

\( \frac{21}{28}\) \(= \frac{3}{4}\)

Fractions (Mixed)

Evaluate:

\( 2\frac{4}{5} − \frac{7}{8}\) \(= 1\frac{37}{40}\)

Pythagoras

Find AC if AB = 3.8m and BC = 5.4m. 3.84m

Trigonometry (Angle)

Find angle BCA if AC = 5.2m and BC = 7.2m. 43.8o

Trigonometry (Side)

Find BC if angle BCA = 30o and AC = 4.2m. 4.85m

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.

\( \frac{1}{5}\) \(= 0.2\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.33\) = \( \frac{33}{100}\)

Percentage (Increase)


Increase £60 by 45%

£87

Lowest Common Multiple

What is the lowest common multiple of fifteen and thirty.

= 30

Sequence (Arithmetic)

6,18,30,42,54...

Find the:
a) next term; 66
b) nth term; 12n - 6
c) term number 32; 378

Sequence (Geometric)

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

Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 12; 1062882

Interest (Simple)

If £180 is invested for 6 years with a simple interest rate of 4%, find the amount of interest earned. £43.20

Interest (Compound)

If £180 is invested with an interest rate of 6% compounded annually, find the value of the investment after 5 years. £240.88

Currency Exchange

If £1 is worth $1.31, convert:

a) £240 to dollars; $314.40

b) $140 to pounds; £106.87

Coordinates (Midpoint)

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

\((9,7) \text{ and } (21,17)\)

(15,12)

Gradient

What is the gradient of the line joining:

\((6,9) \text{ and } (12,13)\)

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

Coordinates (Square)

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

\((1,2),(5,5),(-2,6)\)

(2,9)

Negative Numbers

a) 9 − 14 = -5
b) 9 × (-11) = -99
c) (8−15)(6−17) = 77
d) 99 ÷ (-11) = -9
e) (-5)2 = 25

Substitution

If p = 5, q = 20 and
r = -7 evaluate:

a) 2q − p = 35
b) pq + r = 93
c) p2 − 5q - r = -68

Equations (Type 1)

Solve:

\(2x = 4\)

\(x = 2\)

Equations (Type 2)

Solve:

\(3x -9= 3\)

\(x = 4\)

Equations (Type 3)

Solve:

\(6x +5= 4x + 23\)

\(x = 9\)

Equations (Type 4)

Solve:

\(5(3x -4)-8= 17\)

\(x = 3\)

Equations (Type 5)

Solve:

\(2(4x + 3)= 5(3x + 4)\)

\(x = -2\)

Equations (Simultaneous 1)

Solve:

\(3x+5y = 21\)
\(2x-5y = -11\)

\(x = 2, y = 3\)

Equations (Simultaneous 2)

Solve:

\(2x-4y = -2\)
\(7x+12y = 71\)

\(x = 5, y = 3\)

Equations (Simultaneous 3)

Solve:

\(2x+7y = 55\)
\(5x-3y = -47\)

\(x = -4, y = 9\)

Sets (Union)

Find the union of:

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

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

Sets (Intersection)

Find the intersection of:

{2,4,6,8,10} and
{1,3,6,10,15}

{6,10}

Bearings

A plane flies from point A to point B on a bearing of 208o. What bearing would it return on from B to A? 028o

Probability

A number is picked at random from the set

{2,6,12}

what is the probability it is even? 1

BIDMAS

Evaluate:

82 − 5 × 6 + 3

37

Simplify

Simplify the following by collecting like terms:

\(b+4c-7b+4c\)

\(8c-6b\)

Ratio

Divide 168 in the ratio

6:8

72 and 96

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:

72

2 x 2 x 2 x 3 x 3

Percentage (Reverse)

In a sale an item costs £90 after a 10% reduction. What was the original price?

£100

Averages

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

7,7,2,7,7

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

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.

0.121212... \(\frac{4}{33}\)

Percentage (Decrease)


Decrease £40 by 10%

£36

Brackets (Linear)

Expand:

\(2(4x-2)\)

\(8x-4\)

Brackets (Quadratic)

Expand:

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

\(9x^2+3x-12\)

Factorise (Linear)

Factorise:

\(12x-3\)

\(3(4x-1)\)

Factorise (Quadratic 1)

Factorise:

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

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

Factorise (Quadratic 2)

Factorise:

\(12x^2+x-6\)

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

Circle Theorems

Which theorem?

Circle part Circle part

Standard Form 2

Find the value of:

4.65 × 10-5

= 0.0000465

Standard Form 3

Write in standard form:

6310000

= 6.31 × 106

Standard Form 4

Write in standard form:

0.0775

= 7.75 × 10-2

Sequence (Quadratic)

Find the nth term:

\(-2, 2, 8, 16, 26, \)

\(n^2+n-4\)

Standard Form 5

Multiply 9 × 102
by 8 × 102 and give the answer in standard form.

= 7.2 × 105

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:

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

\(x = 1.57\) and \(-0.319\)

Polygon Angles

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

120°

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:

4296 ÷ 6

= 716

Number Sequences 2

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

Square Numbers

What is the difference between the 11th and the 12th square numbers?

23

Prime Numbers

What are the next three prime numbers after
13

17, 19, 23

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: 6, 0.66, 0.6, 6.6, 6.66, 6.06, 0.06, in ascending order.
0.06, 0.6, 0.66, 6, 6.06, 6.6, 6.66,

Lengths (Ordering)

Write down these lengths: 1.08m, 1.8m, 17cm, 107cm, 18mm, 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 e = 69

Angles with Parallels 2

Angle diagram j = 58

Rounding (1sf)

Round to one significant figure:
a) 74.76; 70
b) 684269; 700000
c) 14; 10
d) 0.00474; 0.005

Estimation

Round each value to one significant figure to make an estimate:$$82 + 9.5 \times 22$$\(80 + 10 \times 20 = 280\)

Pie Charts (1)

A pie chart shows the colours of 40 books. What sector angle represents the
30 red books?
270°

Graph Linear (2)

Straight Line Graph

What is the equation?

\(y=3-x\)

Pie Charts (2)

A pie chart shows the colours of 60 hats. How many green hats are represented
by a sector
angle of 198°?
33

A Mathematics Lesson Starter Of The Day


Topics: Starter | Mixed

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    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:

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    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

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    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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