What is the 5th:
a) Odd number; 9
b) Square number; 25
c) Prime number. 11
Find all the factors of:
39
1, 3, 13, 39.
Subtract the 7th from the 10th multiples of:
3
9
What are the names of regular polygons with:
a) five sides;
b) six sides;
c) seven sides.
Pentagon, Hexagon and Heptagon (all regular)
Round to three significant figures:
a) 22.57; 22.6
b) 170103; 170000
c) 66; 66.0
d) 0.006695; 0.00670
Find the area of a triangle that has a base of 4cm and a height of 9cm.
18cm2
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:
\( \frac{3}{4} + \frac{7}{10}\) \(= 1\frac{9}{20}\)
Evaluate:
\( \frac{1}{3} × \frac{5}{6}\) \(= \frac{5}{18}\)
Evaluate:
\( \frac{3}{5} ÷ \frac{8}{7}\) \(= \frac{21}{40}\)
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.
\( \frac{4}{6}\) \(= 66.7\)%
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 3cm. Give your answer to three significant figures.
18.8cm
Calculate the value of:
8.5 + 7.7
= 16.2
Calculate the value of:
9.4 − 2.8
= 6.6
Calculate the value of:
2.4 × 5.9
= 14.16
Calculate the value of:
161.5 ÷ 17
= 9.5
What is the value of:
43
= 64
What is the value of:
\(4^{\frac{1}{2}}\)
\(= 2\)
Calculate the value of:
99 + 69
= 168
Calculate the value of:
54 − 25
= 29
Calculate the value of:
66 × 59
= 3894
Calculate the value of:
1666 ÷ 17
= 98
Find the value of:
15% of 360
= 54
Find the value of:
8.62 × 106
= 8620000
Find the highest common factor of forty five and fifteen.
= 15
3 × 5 = 15 | 8 × 2 = 16 |
5 × 2 = 10 | 9 × 4 = 36 |
7 × 2 = 14 | 6 × 3 = 18 |
4 × 2 = 8 | 2 × 3 = 6 |
3 × 5 = 15 | 9 × 2 = 18 |
4 × 3 = 12 | 6 × 5 = 30 |
8 × 2 = 16 | 7 × 5 = 35 |
5 × 11 = 55 | 2 × 9 = 18 |
9 × 2 = 18 | 5 × 2 = 10 |
6 × 2 = 12 | 7 × 2 = 14 |
4 × 2 = 8 | 8 × 2 = 16 |
3 × 2 = 6 | 2 × 2 = 4 |
6 × 3 = 18 | 4 × 3 = 12 |
9 × 3 = 27 | 8 × 3 = 24 |
7 × 3 = 21 | 5 × 3 = 15 |
3 × 3 = 9 | 2 × 3 = 6 |
9 × 4 = 36 | 4 × 4 = 16 |
6 × 4 = 24 | 3 × 4 = 12 |
8 × 4 = 32 | 7 × 4 = 28 |
5 × 4 = 20 | 2 × 4 = 8 |
5 × 5 = 25 | 9 × 5 = 45 |
3 × 5 = 15 | 6 × 5 = 30 |
4 × 5 = 20 | 8 × 5 = 40 |
7 × 5 = 35 | 2 × 5 = 10 |
5 × 6 = 30 | 9 × 6 = 54 |
3 × 6 = 18 | 7 × 6 = 42 |
8 × 6 = 48 | 4 × 6 = 24 |
6 × 6 = 36 | 2 × 6 = 12 |
8 × 7 = 56 | 5 × 7 = 35 |
9 × 7 = 63 | 4 × 7 = 28 |
7 × 7 = 49 | 3 × 7 = 21 |
6 × 7 = 42 | 2 × 7 = 14 |
9 × 8 = 72 | 3 × 8 = 24 |
8 × 8 = 64 | 4 × 8 = 32 |
5 × 8 = 40 | 7 × 8 = 56 |
6 × 8 = 48 | 2 × 8 = 16 |
4 × 9 = 36 | 6 × 9 = 54 |
9 × 9 = 81 | 5 × 9 = 45 |
7 × 9 = 63 | 3 × 9 = 27 |
8 × 9 = 72 | 2 × 9 = 18 |
7 × 12 = 84 | 5 × 12 = 60 |
8 × 12 = 96 | 3 × 12 = 36 |
6 × 12 = 72 | 4 × 12 = 48 |
9 × 12 = 108 | 2 × 12 = 24 |
Write this fraction in its simplest form:
\( \frac{7}{28}\) \(= \frac{1}{4}\)
Evaluate:
\( 3\frac{3}{4} − \frac{7}{8}\) \(= 2\frac{7}{8}\)
Find AB if AC = 4.5m and BC = 6.4m. 4.55m
Find angle ABC if AC = 4.8m and AB = 6.6m. 36.0o
Find BC if angle BCA = 39o and AC = 4m. 5.15m
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 to 3 significant figures.
\( \frac{5}{7}\) \(= 0.714\)
Convert this decimal to a fraction.
\(0.08\) = \( \frac{2}{25}\)
Increase £140 by 20%
£168
What is the lowest common multiple of six and ten.
= 30
6,18,30,42,54...
Find the:
a) next term; 66
b) nth term; 12n - 6
c) term number 30; 354
6,18,54,162,486...
Find the:
a) next term; 1458
b) nth term; 6 × 3n-1
c) term number 8; 13122
If £100 is invested for 8 years with a simple interest rate of 4%, find the amount of interest earned. £32.00
If £180 is invested with an interest rate of 6% compounded annually, find the value of the investment after 9 years. £304.11
If £1 is worth $1.39, convert:
a) £220 to dollars; $305.80
b) $120 to pounds; £86.33
What are the coordinates of the midpoint of the line joining:
\((6,-5) \text{ and } (18,7)\)
(12,1)
What is the gradient of the line joining:
\((0,-2) \text{ and } (3,2)\)
\(\frac{4}{3}\)
Here are the coordinates of 3 vertices of a square, what are the coordinates of the 4th?
\((4,2),(9,6),(0,7)\)
(5,11)
a) 10 − 21 = -11
b) 10 × (-11) = -110
c) (10−22)(6−11) = 60
d) 110 ÷ (-11) = -10
e) (-6)2 = 36
If p = 6, q = 27 and
r = -8 evaluate:
a) 2q − p = 48
b) pq + r = 154
c) p2 − 5q - r = -91
Solve:
\(2x = 18\)
\(x = 9\)
Solve:
\(4x +2= 26\)
\(x = 6\)
Solve:
\(5x +2= 3x + 8\)
\(x = 3\)
Solve:
\(2(3x +5)-10= 24\)
\(x = 4\)
Solve:
\(2(4x + 3)= 3(5x + 4)\)
\(x = -0.857 \text{(to 3 sf)}\)
Solve:
\(3x-2y = 4\)
\(2x+2y = 16\)
\(x = 4, y = 4\)
Solve:
\(2x-4y = -18\)
\(7x-12y = -51\)
\(x = 3, y = 6\)
Solve:
\(3x+2y = -31\)
\(5x-7y = 15.5\)
\(x = -6, y = -6.5\)
Find the union of:
{6,7,8,9,10} and
{1,3,6,10,15}
{1,3,6,7,8,9,10,15}
Find the intersection of:
{1,2,3,4,5} and
{6,7,8,9,10}
∅
A plane flies from point A to point B on a bearing of 143o. What bearing would it return on from B to A? 323o
A number is picked at random from the set
{1,3,5,7,9}
what is the probability it is even? 0
Evaluate:
(14 − 7)2 + 8 × 9
121
Simplify the following by collecting like terms:
\(3x+5x^2-8x+x^2\)
\(6x^2-5x\)
Divide 75 in the ratio
3:2
45 and 30
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:
216
2 x 2 x 2 x 3 x 3 x 3
In a sale an item costs £104 after a 35% reduction. What was the original price?
£160
Find the mean, mode, median and range of the following:
7,7,2,7,7
Mean = 6, mode = 7,
median = 7 and range = 5
What time is this?
Sketch a clock face:
Write the following recurring decimal as a fraction in its lowest terms.
0.989898... \(\frac{98}{99}\)
Decrease £180 by 30%
£126
Expand:
\(7(2x-8)\)
\(14x-56\)
Expand:
\((x+1)(4x-4)\)
\(4x^2-4\)
Factorise:
\(18x-12\)
\(6(3x-2)\)
Factorise:
\(x^2-x-12\)
\((x+3)(x-4)\)
Factorise:
\(10x^2+7x-12\)
\((2x+3)(5x-4)\)
Which theorem?
Find the value of:
1.75 × 10-5
= 0.0000175
Write in standard form:
1850
= 1.85 × 103
Write in standard form:
0.00262
= 2.62 × 10-3
Find the nth term:
\(5, 13, 23, 35, 49, \)
\(n^2+5n-1\)
Multiply 7 × 105
by 8 × 105 and give the answer in standard form.
= 5.6 × 1011
Solve:
\(x^2+x-12= 0\)
\(x = 3\) and \(-4\)
Solve this equation giving the solutions to 3 significant figures:
\(5x^2-2x-5 = 0\)
\(x = 1.22\) and \(-0.820\)
What is the size of each interior angle of a regular octagon?
135°
Make \(b\) the subject of the formula
$$c=3b-5$$
$$b=\frac{c+5}{3}$$
Calculate the value of:
2637 ÷ 3
= 879
What is the 10th:
a) Cube number; 1000
b) Triangular number; 55
c) Fibonacci number. 55
What is the difference between the 8th and the 9th square numbers?
17
What are the three largest prime numbers less than
13
11, 7, 5
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, 0.55, 5.05, 5.5, 0.05, in ascending order.
0.05, 0.5, 0.55, 5, 5.05, 5.5, 5.55,
Write down these lengths: 1.8m, 1.08m, 18mm, 107cm, 17cm, 1.7cm, in order.
1.7cm, 18mm, 17cm, 107cm, 1.08m, 1.8m,
Write down these capacities: 173ml, 18cl, 17cl, 200ml, 21cl, 18ml, in order.
18ml, 17cl, 173ml, 18cl, 200ml, 21cl,
h = 75
h = 75
Round to one significant figure:
a) 38.47; 40
b) 687480; 700000
c) 76; 80
d) 0.00764; 0.008
Round each value to one significant figure to make an estimate:$$31 + 5.9 \times 83$$\(30 + 6 \times 80 = 510\)
A pie chart shows the colours of 15 books. What sector angle represents the
8 red books?
192°
What is the equation?
\(y=5\)A pie chart shows the colours of 45 hats. How many green hats are represented
by a sector
angle of 64°?
8
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