Number Sequences 1

What is the 6th:
a) Odd number; 11
b) Square number; 36
c) Prime number. 13

Factors

Find all the factors of:

46

1, 2, 23, 46.

Multiples

Subtract the 6th from the 11th multiples of:

11

55

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) 92.56; 92.6
b) 520825; 521000
c) 0.009695; 0.00970

Area of a Triangle

Find the area of a triangle that has a base of 6cm and a height of 10cm.

30cm²

Area of a Trapezium

Find the area of a trapezium that has a base of 14cm, a height of 8cm and a top (parallel to base) of 4cm. 72cm²

Fractions (Adding)

Evaluate:

\( \frac{3}{4} + \frac{6}{8}\) \(= 1\frac{1}{2}\)

Fractions (Multiplying)

Evaluate:

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

Fractions (Dividing)

Evaluate:

\( \frac{3}{5} ÷ \frac{9}{7}\) \(= \frac{7}{15}\)

Circle (Vocabulary)

Name the red part.

Venn Diagrams

Describe the red region.

Shape Formulas

What is the formula?

Formulas (Advanced)

What is it?

Fraction to Percentage

Convert this fraction to a percentage to 3 significant figures.

\( \frac{5}{7}\) \(= 71.4\)%

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.

56.5cm²

Decimals (Adding)

Calculate the value of:

3.9 + 6.7

= 10.6

Decimals (Subtracting)

Calculate the value of:

9.2 − 3.9

= 5.3

Decimals (Multiplying)

Calculate the value of:

2.9 × 6.6

= 19.14

Decimals (Dividing)

Calculate the value of:

91.2 ÷ 12

= 7.6

Indices (Simple)

What is the value of:

2³

= 8

Indices (Advanced)

What is the value of:

4^-1

= 0.25

Basic Addition

Calculate the value of:

86 + 75

= 161

Basic Subtraction

Calculate the value of:

73 − 27

= 46

Basic Multiplication

Calculate the value of:

26 × 86

= 2236

Basic Division 2

Calculate the value of:

630 ÷ 14

= 45

Percentage (Of)

Find the value of:

10% of 160

= 16

Standard Form 1

Find the value of:

7.48 × 10⁵

= 748000

Highest Common Factor

Find the highest common factor of eighteen and nine.

= 9

Times Tables (2-5)

Times Tables (2-12)

Times Tables (2)

Times Tables (3)

Times Tables (4)

Times Tables (5)

Times Tables (6)

Times Tables (7)

Times Tables (8)

Times Tables (9)

Times Tables (12)

Fractions (Equivalent)

Write this fraction in its simplest form:

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

Fractions (Mixed)

Evaluate:

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

Pythagoras

Find AB if AC = 4.1m and BC = 5.2m. 3.20m

Trigonometry (Angle)

Find angle BCA if AC = 5.4m and BC = 7m. 39.5^o

Trigonometry (Side)

Find AC if angle BCA = 53^o and AB = 5.7m. 4.30m

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.

\( \frac{5}{8}\) \(= 0.625\)

Decimal to Fraction

Convert this decimal to a fraction.

\(0.42\) = \( \frac{21}{50}\)

Percentage (Increase)

Increase £160 by 30%

£208

Lowest Common Multiple

What is the lowest common multiple of twelve and twenty four.

= 24

Sequence (Arithmetic)

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

Find the:
a) next term; 40
b) n^th term; 7n - 2
c) term number 33; 229

Sequence (Geometric)

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

Find the:
a) next term; 160
b) n^th term; 5 × 2^n-1
c) term number 11; 5120

Interest (Simple)

If £240 is invested for 5 years with a simple interest rate of 3%, find the amount of interest earned. £36.00

Interest (Compound)

If £100 is invested with an interest rate of 5% compounded annually, find the value of the investment after 7 years. £140.71

Currency Exchange

If £1 is worth $1.55, convert:

a) £160 to dollars; $248.00

b) $220 to pounds; £103.23

Coordinates (Midpoint)

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

\((3,2) \text{ and } (15,10)\)

(9,6)

Gradient

What is the gradient of the line joining:

\((4,2) \text{ and } (9,7)\)

1

Coordinates (Square)

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

\((5,3),(8,8),(0,6)\)

(3,11)

Negative Numbers

a) 9 − 17 = -8
b) 9 × (-5) = -45
c) (5−14)(7−12) = 45
d) 45 ÷ (-5) = -9
e) (-8)² = 64

Substitution

If p = 5, q = 22 and
r = -10 evaluate:

a) 2q − p = 39
b) pq + r = 100
c) p² − 5q - r = -75

Equations (Type 1)

Solve:

\(2x = 18\)

\(x = 9\)

Equations (Type 2)

Solve:

\(5x +3= 33\)

\(x = 6\)

Equations (Type 3)

Solve:

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

\(x = 8\)

Equations (Type 4)

Solve:

\(2(4x +2)-5= 47\)

\(x = 6\)

Equations (Type 5)

Solve:

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

\(x = 0.5\)

Equations (Simultaneous 1)

Solve:

\(2x+3y = 12\)
\(3x-3y = 3\)

\(x = 3, y = 2\)

Equations (Simultaneous 2)

Solve:

\(2x+2y = 20\)
\(4x-6y = -20\)

\(x = 4, y = 6\)

Equations (Simultaneous 3)

Solve:

\(7x+3y = -43\)
\(2x-6y = -26\)

\(x = -7, y = 2\)

Sets (Union)

Find the union of:

{1,3,5,7,9} and
{1,3,6,10,15}

{1,3,5,6,7,9,10,15}

Sets (Intersection)

Find the intersection of:

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

{6,8,10}

Bearings

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

Probability

A number is picked at random from the set

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

what is the probability it is even? \(\frac12\)

BIDMAS

Evaluate:

35 ÷ 7 × 18 ÷ 9

10

Simplify

Simplify the following by collecting like terms:

\(3b+5c+8b+4c\)

\(11b+9c\)

Ratio

Divide 99 in the ratio

3:6

33 and 66

Graph (Linear)

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:

37

37

Percentage (Reverse)

In a sale an item costs £99 after a 45% reduction. What was the original price?

£180

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?

Time (Digital)

Sketch a clock face:

Decimals (Recurring)

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

0.878787... \(\frac{29}{33}\)

Percentage (Decrease)

Decrease £100 by 30%

£70

Brackets (Linear)

Expand:

\(3(7x-4)\)

\(21x-12\)

Brackets (Quadratic)

Expand:

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

\(16x^2-4\)

Factorise (Linear)

Factorise:

\(9x-21\)

\(3(3x-7)\)

Factorise (Quadratic 1)

Factorise:

\(x^2-x-6\)

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

Factorise (Quadratic 2)

Factorise:

\(5x^2+18x-8\)

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

Circle Theorems

Which theorem?

Standard Form 2

Find the value of:

8.07 × 10^-2

= 0.0807

Standard Form 3

Write in standard form:

816000

= 8.16 × 10⁵

Standard Form 4

Write in standard form:

0.000434

= 4.34 × 10^-4

Sequence (Quadratic)

Find the n^th term:

\(9, 16, 25, 36, 49, \)

\(n^2+4n+4\)

Standard Form 5

Multiply 9 × 10⁵
by 4 × 10³ and give the answer in standard form.

= 3.6 × 10⁹

Equations (Quadratic 1)

Solve:

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

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

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 heptagon?

128.6°

Change The Subject

Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$

$$k=\frac{bc}{a}-2$$

Basic Division 1

Calculate the value of:

3368 ÷ 4

= 842

Number Sequences 2

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