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:

37

1, 37.

Multiples

Subtract the 6th from the 9th multiples of:

12

36

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

Round the following numbers to three significant figures:
a) 11.11; 11.1
b) 283235; 283000
c) 0.008395; 0.00840

Area of a Triangle

Find the area of a triangle that has a base of 7cm and a height of 12cm.

42cm2

Area of a Trapezium

Find the area of a trapezium that has a base of 15cm, a height of 7cm and a top (parallel to base) of 5cm. 70cm2

Evaluate:

$$\frac{3}{5} + \frac{7}{10}$$ $$= 1\frac{3}{10}$$

Fractions (Multiplying)

Evaluate:

$$\frac{3}{5} × \frac{7}{8}$$ $$= \frac{21}{40}$$

Fractions (Dividing)

Evaluate:

$$\frac{2}{4} ÷ \frac{7}{5}$$ $$= \frac{5}{14}$$

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 to 3 significant figures.

$$\frac{4}{6}$$ $$= 66.7$$%

Circle Area

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

314cm2

Circle Circumference

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

56.5cm2

Calculate the value of:

3.6 + 7.6

= 11.2

Decimals (Subtracting)

Calculate the value of:

6.4 − 4.6

= 1.8

Decimals (Multiplying)

Calculate the value of:

6.3 × 5.3

= 33.39

Decimals (Dividing)

Calculate the value of:

131.6 ÷ 14

= 9.4

Indices (Simple)

What is the value of:

53

= 125

What is the value of:

2-2

= 0.25

Calculate the value of:

39 + 89

= 128

Basic Subtraction

Calculate the value of:

51 − 29

= 22

Basic Multiplication

Calculate the value of:

47 × 88

= 4136

Basic Division 2

Calculate the value of:

1950 ÷ 26

= 75

Percentage (Of)

Find the value of:

20% of 260

= 52

Standard Form 1

Find the value of:

9.79 × 102

= 979

Highest Common Factor

Find the highest common factor of twenty four and twelve.

= 12

Times Tables (2-5)

 5 × 2 = 10 6 × 3 = 18 8 × 4 = 32 7 × 4 = 28 9 × 2 = 18 3 × 2 = 6 4 × 2 = 8 2 × 5 = 10

Times Tables (2-12)

 4 × 10 = 40 3 × 8 = 24 7 × 5 = 35 6 × 11 = 66 9 × 2 = 18 8 × 6 = 48 5 × 10 = 50 2 × 6 = 12

Times Tables (2)

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

Times Tables (3)

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

Times Tables (4)

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

Times Tables (5)

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

Times Tables (6)

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

Times Tables (7)

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

Times Tables (8)

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

Times Tables (9)

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

Times Tables (12)

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

Fractions (Equivalent)

Write this fraction in its simplest form:

$$\frac{9}{18}$$ $$= \frac{1}{2}$$

Fractions (Mixed)

Evaluate:

$$2\frac{1}{2} − \frac{4}{5}$$ $$= 1\frac{7}{10}$$

Pythagoras

Find BC if AB = 3m and AC = 4.8m. 5.66m

Trigonometry (Angle)

Find angle ABC if AB = 3.4m and BC = 5.3m. 50.1o

Trigonometry (Side)

Find AC if angle BCA = 66o and AB = 5.5m. 2.45m

2

2

2

Fraction to Decimal

Convert this fraction to a decimal to 3 significant figures.

$$\frac{2}{6}$$ $$= 0.333$$

Decimal to Fraction

Convert this decimal to a fraction.

$$0.28$$ = $$\frac{7}{25}$$

Percentage (Increase)

Increase £120 by 25%

£150

Lowest Common Multiple

What is the lowest common multiple of four and sixteen.

= 16

Sequence (Arithmetic)

4,15,26,37,48...

Find the:
a) next term; 59
b) nth term; 11n - 7
c) term number 46; 499

Sequence (Geometric)

7,28,112,448,1792...

Find the:
a) next term; 7168
b) nth term; 7 × 4n-1
c) term number 9; 458752

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 £220 is invested with an interest rate of 6% compounded annually, find the value of the investment after 8 years. £350.65

Currency Exchange

If £1 is worth $1.57, convert: a) £200 to dollars;$314.00

b) \$160 to pounds; £127.39

Coordinates (Midpoint)

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

$$(1,-6) \text{ and } (7,6)$$

(4,0)

What is the gradient of the line joining:

$$(-1,1) \text{ and } (4,7)$$

$$\frac{6}{5}$$

Coordinates (Square)

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

$$(5,3),(9,7),(1,7)$$

(5,11)

Negative Numbers

a) 9 − 14 = -5
b) 9 × (-9) = -81
c) (7−19)(9−16) = 84
d) 81 ÷ (-9) = -9
e) (-6)2 = 36

Substitution

If p = 6, q = 19 and
r = -6 evaluate:

a) 2q − p = 32
b) pq + r = 108
c) p2 − 5q - r = -53

Equations (Type 1)

Solve:

$$5x = 35$$

$$x = 7$$

Equations (Type 2)

Solve:

$$2x -3= 5$$

$$x = 4$$

Equations (Type 3)

Solve:

$$8x +6= 5x + 27$$

$$x = 7$$

Equations (Type 4)

Solve:

$$5(3x -5)+7= 117$$

$$x = 9$$

Equations (Type 5)

Solve:

$$5(3x + 5)= 2(5x + 5)$$

$$x = -3$$

Equations (Simultaneous 1)

Solve:

$$3x+5y = 19$$
$$5x-5y = 5$$

$$x = 3, y = 2$$

Equations (Simultaneous 2)

Solve:

$$3x+3y = 36$$
$$4x-6y = -22$$

$$x = 5, y = 7$$

Equations (Simultaneous 3)

Solve:

$$2x+2y = 6$$
$$6x+5y = 24.5$$

$$x = 9.5, y = -6.5$$

Sets (Union)

Find the union of:

{1,2,3,4,5} and
{5,6,7,8,9,10}

{1,2,3,4,5,6,7,8,9,10}

Sets (Intersection)

Find the intersection of:

{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 040o. What bearing would it return on from B to A? 220o

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:

(18 − 8)2 + 5 × 9

145

Simplify

Simplify the following by collecting like terms:

$$3a+5b-3a+4b^2$$

$$5b+4b^2$$

Ratio

Divide 165 in the ratio

3:8

45 and 120

Graph (Linear)

Draw a rough sketch of the graph of:

$$y=2x$$

y intercept 0

Prime Factors

Express the following number as the product of prime numbers:

26

2 x 13

Percentage (Reverse)

In a sale an item costs £12 after a 40% reduction. What was the original price?

£20

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?

Time (Digital)

Sketch a clock face:

Decimals (Recurring)

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

0.383838... $$\frac{38}{99}$$

Percentage (Decrease)

Decrease £60 by 25%

£45

Brackets (Linear)

Expand:

$$2(2x-8)$$

$$4x-16$$

Expand:

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

$$8x^2+2x-6$$

Factorise (Linear)

Factorise:

$$45x-63$$

$$9(5x-7)$$

Factorise:

$$x^2+x-6$$

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

Factorise:

$$12x^2+7x-12$$

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

Which theorem?

Standard Form 2

Find the value of:

2.39 × 10-4

= 0.000239

Standard Form 3

Write in standard form:

122

= 1.22 × 102

Standard Form 4

Write in standard form:

0.0166

= 1.66 × 10-2

Find the nth term:

$$7, 11, 17, 25, 35,$$

$$n^2+n+5$$

Standard Form 5

Multiply 9 × 102
by 6 × 105 and give the answer in standard form.

= 5.4 × 108

Solve:

$$x^2+2x-15= 0$$

$$x = 3$$ and $$-5$$

Solve this equation giving the solutions to 3 significant figures:

$$4x^2-5x-4 = 0$$

$$x = 1.80$$ and $$-0.554$$

Polygon Angles

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

108°

Change The Subject

Make $$g$$ the subject of the formula
$$e=\frac{g}{h}+d$$

$$g=h(e-d)$$

Basic Division 1

Calculate the value of:

964 ÷ 2

= 482

Number Sequences 2

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

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