What is the 7th:
a) Odd number; 13
b) Square number; 49
c) Prime number. 17
Find all the factors of:
42
1, 2, 3, 6, 7, 14, 21, 42.
Subtract the 5th from the 8th multiples of:
4
12
What are the names of regular polygons with:
a) three sides;
b) four sides;
c) five sides.
Equilateral Triangle, Square and Pentagon (all regular)
Round to three significant figures:
a) 34.43; 34.4
b) 351527; 352000
c) 12; 12.0
d) 0.001295; 0.00130
Find the area of a triangle that has a base of 3cm and a height of 6cm.
9cm2
Find the area of a trapezium that has a base of 10cm, a height of 6cm and a top (parallel to base) of 4cm. 42cm2
Evaluate:
\( \frac{2}{4} + \frac{6}{9}\) \(= 1\frac{1}{6}\)
Evaluate:
\( \frac{1}{2} × \frac{4}{6}\) \(= \frac{1}{3}\)
Evaluate:
\( \frac{2}{4} ÷ \frac{8}{6}\) \(= \frac{3}{8}\)
Name the red part.
Describe the red region.
What is the formula?
What is it?
Convert this fraction to a percentage.
\( \frac{3}{5}\) \(= 60\)%
Find the area of a circle that has a radius of 4cm. Give your answer to three significant figures.
50.3cm2
Find the circumference of a circle that has a radius of 7cm. Give your answer to three significant figures.
44.0cm
Calculate the value of:
9.9 + 5.5
= 15.4
Calculate the value of:
8.3 − 4.5
= 3.8
Calculate the value of:
7.5 × 9.5
= 71.25
Calculate the value of:
116.8 ÷ 16
= 7.3
What is the value of:
23
= 8
What is the value of:
\(5^{-3}\)
\(= \frac{1}{125}\)
Calculate the value of:
98 + 39
= 137
Calculate the value of:
93 − 25
= 68
Calculate the value of:
45 × 94
= 4230
Calculate the value of:
1083 ÷ 19
= 57
Find the value of:
50% of 320
= 160
Find the value of:
3.77 × 104
= 37700
Find the highest common factor of forty and ten.
= 10
7 × 3 = 21 | 8 × 5 = 40 |
4 × 2 = 8 | 5 × 5 = 25 |
6 × 3 = 18 | 9 × 4 = 36 |
3 × 5 = 15 | 2 × 5 = 10 |
4 × 5 = 20 | 5 × 2 = 10 |
9 × 3 = 27 | 3 × 6 = 18 |
8 × 10 = 80 | 6 × 2 = 12 |
7 × 10 = 70 | 2 × 2 = 4 |
8 × 2 = 16 | 3 × 2 = 6 |
6 × 2 = 12 | 7 × 2 = 14 |
4 × 2 = 8 | 5 × 2 = 10 |
9 × 2 = 18 | 2 × 2 = 4 |
3 × 3 = 9 | 6 × 3 = 18 |
7 × 3 = 21 | 4 × 3 = 12 |
5 × 3 = 15 | 8 × 3 = 24 |
9 × 3 = 27 | 2 × 3 = 6 |
4 × 4 = 16 | 9 × 4 = 36 |
6 × 4 = 24 | 7 × 4 = 28 |
3 × 4 = 12 | 5 × 4 = 20 |
8 × 4 = 32 | 2 × 4 = 8 |
6 × 5 = 30 | 3 × 5 = 15 |
4 × 5 = 20 | 5 × 5 = 25 |
7 × 5 = 35 | 8 × 5 = 40 |
9 × 5 = 45 | 2 × 5 = 10 |
5 × 6 = 30 | 7 × 6 = 42 |
4 × 6 = 24 | 9 × 6 = 54 |
3 × 6 = 18 | 6 × 6 = 36 |
8 × 6 = 48 | 2 × 6 = 12 |
6 × 7 = 42 | 5 × 7 = 35 |
9 × 7 = 63 | 7 × 7 = 49 |
3 × 7 = 21 | 4 × 7 = 28 |
8 × 7 = 56 | 2 × 7 = 14 |
6 × 8 = 48 | 7 × 8 = 56 |
3 × 8 = 24 | 9 × 8 = 72 |
4 × 8 = 32 | 8 × 8 = 64 |
5 × 8 = 40 | 2 × 8 = 16 |
6 × 9 = 54 | 7 × 9 = 63 |
9 × 9 = 81 | 8 × 9 = 72 |
4 × 9 = 36 | 3 × 9 = 27 |
5 × 9 = 45 | 2 × 9 = 18 |
7 × 12 = 84 | 4 × 12 = 48 |
6 × 12 = 72 | 8 × 12 = 96 |
3 × 12 = 36 | 9 × 12 = 108 |
5 × 12 = 60 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{45}{63}\) \(= \frac{5}{7}\)
Evaluate:
\( 1\frac{1}{2} − \frac{3}{4}\) \(= \frac{3}{4}\)
Find AC if AB = 3.2m and BC = 4.2m. 2.72m
Find angle ABC if AC = 4.3m and BC = 5.5m. 51.4o
Find BC if angle BCA = 33o and AB = 5.2m. 9.55m
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.
\(0.46\) = \( \frac{23}{50}\)
Increase £40 by 15%
£46
What is the lowest common multiple of ten and forty.
= 40
6,19,32,45,58...
Find the:
a) next term; 71
b) nth term; 13n - 7
c) term number 41; 526
4,8,16,32,64...
Find the:
a) next term; 128
b) nth term; 4 × 2n-1
c) term number 12; 8192
If £140 is invested for 6 years with a simple interest rate of 5%, find the amount of interest earned. £42.00
If £160 is invested with an interest rate of 3% compounded annually, find the value of the investment after 7 years. £196.78
If £1 is worth $1.34, convert:
a) £220 to dollars; $294.80
b) $120 to pounds; £89.55
What are the coordinates of the midpoint of the line joining:
\((-3,4) \text{ and } (5,12)\)
(1,8)
What is the gradient of the line joining:
\((5,2) \text{ and } (9,6)\)
1
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((5,3),(8,9),(-1,6)\)
(2,12)
a) 7 − 13 = -6
b) 7 × (-10) = -70
c) (5−10)(12−21) = 45
d) 70 ÷ (-10) = -7
e) (-10)2 = 100
If p = 6, q = 18 and
r = -12 evaluate:
a) 2q − p = 30
b) pq + r = 96
c) p2 − 5q - r = -42
Solve:
\(5x = 35\)
\(x = 7\)
Solve:
\(2x +4= 8\)
\(x = 2\)
Solve:
\(5x +5= 3x + 23\)
\(x = 9\)
Solve:
\(3(5x -4)+5= 128\)
\(x = 9\)
Solve:
\(5(3x + 2)= 3(4x + 4)\)
\(x = 0.667 \text{(to 3 sf)}\)
Solve:
\(2x-4y = -8\)
\(5x+4y = 36\)
\(x = 4, y = 4\)
Solve:
\(3x-4y = 0\)
\(5x-8y = -4\)
\(x = 4, y = 3\)
Solve:
\(2x-5y = 3\)
\(3x+2y = -33.5\)
\(x = -8.5, y = -4\)
Find the union of:
{2,4,6,8,10} and
{1,3,6,10,15}
{1,2,3,4,6,8,10,15}
Find the intersection of:
{6,7,8,9,10} and
{2,6,12}
{6}
A plane flies from point A to point B on a bearing of 328o. What bearing would it return on from B to A? 148o
A number is picked at random from the set
{3,4,5,6,7,8}
what is the probability it is even? \(\frac12\)
Evaluate:
(12 − 5)2 + 6 × 6
85
Simplify the following by collecting like terms:
\(3b+5c+8b+4c\)
\(11b+9c\)
Divide 84 in the ratio
5:2
60 and 24
Draw a rough sketch of the graph of:
\(y=-x-2\)
Gradient -1
y intercept -2
Express the following number as the product of prime numbers:
36
2 x 2 x 3 x 3
In a sale an item costs £72 after a 40% reduction. What was the original price?
£120
Find the mean, mode, median and range of the following:
5,8,8,6,7,8
Mean = 7, mode = 8,
median = 7.5 and range = 3
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.474747... \(\frac{47}{99}\)
Decrease £80 by 40%
£48
Expand:
\(6(5x-7)\)
\(30x-42\)
Expand:
\((3x+4)(x-3)\)
\(3x^2-5x-12\)
Factorise:
\(4x-4\)
\(4(x-1)\)
Factorise:
\(x^2+x-6\)
\((x+3)(x-2)\)
Factorise:
\(2x^2+7x-4\)
\((x+4)(2x-1)\)
Which theorem?
Find the value of:
7.94 × 10-5
= 0.0000794
Write in standard form:
42200
= 4.22 × 104
Write in standard form:
0.00617
= 6.17 × 10-3
Find the nth term:
\(14, 29, 50, 77, 110, \)
\(3n^2+6n+5\)
Multiply 7 × 106
by 5 × 103 and give the answer in standard form.
= 3.5 × 1010
Solve:
\(x^2-x-6= 0\)
\(x = 3\) and \(-2\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-4x-2 = 0\)
\(x = 1.15\) and \(-0.348\)
What is the size of each interior angle of a regular nonagon?
140°
Make \(h\) the subject of the formula
$$e=\frac{h}{4}-5$$
$$h=4(e+5)$$
Calculate the value of:
1444 ÷ 4
= 361
What is the 5th:
a) Cube number; 125
b) Triangular number; 15
c) Fibonacci number. 5
What is the square of
2
4
What is the difference between the 5th and the 6th prime numbers?
13 - 11 = 2
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: 0.5, 5.55, 5.05, 5, 0.55, 5.5, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 18mm, 1.08m, 17cm, 107cm, 1.8m, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 17cl, 18cl, 200ml, 21cl, 173ml, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
j = 97
h = 75
Round to one significant figure:
a) 98.46; 100
b) 783692; 800000
c) 11; 10
d) 0.00854; 0.009
Round each value to one significant figure to make an estimate:$$61 + 7.9 \times 51$$\(60 + 8 \times 50 = 460\)
A pie chart shows the colours of 90 books. What sector angle represents the
42 red books?
168°
What is the equation?
\(y=3-x\)A pie chart shows the colours of 120 hats. How many green hats are represented
by a sector
angle of 237°?
79
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