What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
22
1, 2, 11, 22.
Subtract the 6th from the 9th multiples of:
4
12
What are the names of regular polygons with:
a) seven sides;
b) eight sides;
c) nine sides.
Heptagon, Octagon and Nonagon (all regular)
Round to three significant figures:
a) 88.62; 88.6
b) 924023; 924000
c) 85; 85.0
d) 0.008595; 0.00860
Find the area of a triangle that has a base of 4cm and a height of 8cm.
16cm2
Find the area of a trapezium that has a base of 16cm, a height of 8cm and a top (parallel to base) of 6cm. 88cm2
Evaluate:
\( \frac{3}{6} + \frac{9}{12}\) \(= 1\frac{1}{4}\)
Evaluate:
\( \frac{2}{3} × \frac{5}{7}\) \(= \frac{10}{21}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{7}{5}\) \(= \frac{5}{14}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage to 3 significant figures.
\( \frac{3}{7}\) \(= 42.9\)%
Find the area of a circle that has a radius of 1cm. Give your answer to three significant figures.
3.14cm2
Find the circumference of a circle that has a radius of 6cm. Give your answer to three significant figures.
37.7cm
Calculate the value of:
5.6 + 8.6
= 14.2
Calculate the value of:
8.4 − 2.6
= 5.8
Calculate the value of:
4.9 × 6.4
= 31.36
Calculate the value of:
66.5 ÷ 19
= 3.5
What is the value of:
22
= 4
What is the value of:
\(2^{-1}\)
\(= \frac{1}{2}\)
Calculate the value of:
67 + 98
= 165
Calculate the value of:
91 − 29
= 62
Calculate the value of:
22 × 67
= 1474
Calculate the value of:
819 ÷ 13
= 63
Find the value of:
55% of 120
= 66
Find the value of:
1.61 × 102
= 161
Find the highest common factor of fourteen and six.
= 2
8 × 3 = 24 | 7 × 3 = 21 |
9 × 5 = 45 | 3 × 3 = 9 |
4 × 5 = 20 | 5 × 2 = 10 |
6 × 4 = 24 | 2 × 5 = 10 |
9 × 2 = 18 | 4 × 4 = 16 |
7 × 4 = 28 | 3 × 3 = 9 |
6 × 7 = 42 | 8 × 9 = 72 |
5 × 10 = 50 | 2 × 3 = 6 |
5 × 2 = 10 | 3 × 2 = 6 |
7 × 2 = 14 | 6 × 2 = 12 |
9 × 2 = 18 | 8 × 2 = 16 |
4 × 2 = 8 | 2 × 2 = 4 |
9 × 3 = 27 | 5 × 3 = 15 |
3 × 3 = 9 | 6 × 3 = 18 |
7 × 3 = 21 | 4 × 3 = 12 |
8 × 3 = 24 | 2 × 3 = 6 |
4 × 4 = 16 | 5 × 4 = 20 |
9 × 4 = 36 | 7 × 4 = 28 |
6 × 4 = 24 | 3 × 4 = 12 |
8 × 4 = 32 | 2 × 4 = 8 |
8 × 5 = 40 | 6 × 5 = 30 |
4 × 5 = 20 | 7 × 5 = 35 |
9 × 5 = 45 | 3 × 5 = 15 |
5 × 5 = 25 | 2 × 5 = 10 |
8 × 6 = 48 | 3 × 6 = 18 |
4 × 6 = 24 | 5 × 6 = 30 |
6 × 6 = 36 | 7 × 6 = 42 |
9 × 6 = 54 | 2 × 6 = 12 |
6 × 7 = 42 | 7 × 7 = 49 |
4 × 7 = 28 | 5 × 7 = 35 |
8 × 7 = 56 | 3 × 7 = 21 |
9 × 7 = 63 | 2 × 7 = 14 |
9 × 8 = 72 | 5 × 8 = 40 |
4 × 8 = 32 | 7 × 8 = 56 |
3 × 8 = 24 | 6 × 8 = 48 |
8 × 8 = 64 | 2 × 8 = 16 |
7 × 9 = 63 | 8 × 9 = 72 |
9 × 9 = 81 | 3 × 9 = 27 |
6 × 9 = 54 | 5 × 9 = 45 |
4 × 9 = 36 | 2 × 9 = 18 |
5 × 12 = 60 | 9 × 12 = 108 |
6 × 12 = 72 | 3 × 12 = 36 |
7 × 12 = 84 | 8 × 12 = 96 |
4 × 12 = 48 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{18}{30}\) \(= \frac{3}{5}\)
Evaluate:
\( 2\frac{4}{5} − \frac{8}{9}\) \(= 1\frac{41}{45}\)
Find AB if AC = 3.7m and BC = 5.2m. 3.65m
Find angle BCA if AB = 5.8m and AC = 6.8m. 40.5o
Find BC if angle BCA = 32o and AB = 5.6m. 10.6m
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Give your answer in Roman numerals.
2
Convert this fraction to a decimal.
\( \frac{1}{5}\) \(= 0.2\)
Convert this decimal to a fraction.
\(0.65\) = \( \frac{13}{20}\)
Increase £80 by 15%
£92
What is the lowest common multiple of six and twenty one.
= 42
7,21,35,49,63...
Find the:
a) next term; 77
b) nth term; 14n - 7
c) term number 31; 427
5,15,45,135,405...
Find the:
a) next term; 1215
b) nth term; 5 × 3n-1
c) term number 12; 885735
If £160 is invested for 7 years with a simple interest rate of 5%, find the amount of interest earned. £56.00
If £100 is invested with an interest rate of 6% compounded annually, find the value of the investment after 7 years. £150.36
If £1 is worth $1.34, convert:
a) £120 to dollars; $160.80
b) $160 to pounds; £119.40
What are the coordinates of the midpoint of the line joining:
\((6,6) \text{ and } (18,14)\)
(12,10)
What is the gradient of the line joining:
\((5,-5) \text{ and } (9,1)\)
\(\frac{3}{2}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((3,3),(9,7),(-1,9)\)
(5,13)
a) 5 − 11 = -6
b) 5 × (-7) = -35
c) (11−17)(6−14) = 48
d) 35 ÷ (-7) = -5
e) (-11)2 = 121
If p = 6, q = 17 and
r = -8 evaluate:
a) 2q − p = 28
b) pq + r = 94
c) p2 − 5q - r = -41
Solve:
\(2x = 6\)
\(x = 3\)
Solve:
\(5x -1= 44\)
\(x = 9\)
Solve:
\(7x -5= 4x + 16\)
\(x = 7\)
Solve:
\(4(3x -6)+11= 23\)
\(x = 3\)
Solve:
\(5(5x + 4)= 4(2x + 2)\)
\(x = -0.706 \text{(to 3 sf)}\)
Solve:
\(4x+3y = 40\)
\(3x+3y = 33\)
\(x = 7, y = 4\)
Solve:
\(4x+3y = 35\)
\(6x-6y = 0\)
\(x = 5, y = 5\)
Solve:
\(2x+7y = 53\)
\(5x-3y = -52\)
\(x = -5, y = 9\)
Find the union of:
{1,3,5,7,9} and
{2,6,12}
{1,2,3,5,6,7,9,12}
Find the intersection of:
{1,2,3,4,5} and
{5,6,7,8,9,10}
{5}
A plane flies from point A to point B on a bearing of 179o. What bearing would it return on from B to A? 359o
A number is picked at random from the set
{2,3,5,7,11,13}
what is the probability it is even? \(\frac16\)
Evaluate:
62 − 7 × 3 + 2
17
Simplify the following by collecting like terms:
\(3a+5b-3a+4b^2\)
\(5b+4b^2\)
Divide 40 in the ratio
2:6
10 and 30
Draw a rough sketch of the graph of:
\(2y=x\)
Gradient 0.5
y intercept 0
Express the following number as the product of prime numbers:
360
2 x 2 x 2 x 3 x 3 x 5
In a sale an item costs £112 after a 20% reduction. What was the original price?
£140
Find the mean, mode, median and range of the following:
6,7,8,9,10
Mean = 8, no mode,
median = 8 and range = 4
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.848484... \(\frac{28}{33}\)
Decrease £120 by 20%
£96
Expand:
\(5(4x-6)\)
\(20x-30\)
Expand:
\((4x+4)(2x-3)\)
\(8x^2-4x-12\)
Factorise:
\(35x-56\)
\(7(5x-8)\)
Factorise:
\(x^2-3x-4\)
\((x+1)(x-4)\)
Factorise:
\(x^2-9\)
\((x+3)(x-3)\)
Which theorem?
Find the value of:
2.74 × 10-3
= 0.00274
Write in standard form:
32900
= 3.29 × 104
Write in standard form:
0.0000138
= 1.38 × 10-5
Find the nth term:
\(14, 23, 36, 53, 74, \)
\(2n^2+3n+9\)
Multiply 4 × 105
by 7 × 103 and give the answer in standard form.
= 2.8 × 109
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(2x^2+5x-4 = 0\)
\(x = 0.637\) and \(-3.14\)
What is the size of each exterior angle of a regular decagon?
36°
Make \(k\) the subject of the formula
$$c=\frac{a(2+k)}{b}$$
$$k=\frac{bc}{a}-2$$
Calculate the value of:
1749 ÷ 3
= 583
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What is the difference between the 4th and the 5th square numbers?
9
What are the three largest prime numbers less than
47
43, 41, 37
Write down something you learnt in the previous mathematics lesson.
Write down something you learnt in one of the mathematics lessons last week.
Calculate \(x\).
Write down these numbers: 8.08, 0.8, 8, 8.8, 8.88, 0.88, 0.08, in ascending order.
0.08, 0.8, 0.88, 8, 8.08, 8.8, 8.88,
Write down these lengths: 17cm, 1.08m, 1.8m, 107cm, 18mm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 21cl, 17cl, 200ml, 173ml, 18cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
f = 132
g = 122
Round to one significant figure:
a) 32.31; 30
b) 975831; 1000000
c) 38; 40
d) 0.00514; 0.005
Round each value to one significant figure to make an estimate:$$(191 + 2.5) \div 18$$\((200 + 3) \div 20 = 10.15\)
A pie chart shows the colours of 5 books. What sector angle represents the
3 red books?
216°
What is the equation?
\(y=x+4\)A pie chart shows the colours of 15 hats. How many green hats are represented
by a sector
angle of 168°?
7
Topics: Starter | Algebra | Arithmetic | Circles | Coordinates | Fractions | Mental Methods | Mixed | Money | Sets | Simultaneous Equations | Tables | Trigonometry
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