Maths Books EMBs

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Solve these simultaneous equations. 7x - 2y = 4; 3x + 2y = 16.
x = 2, y = 5
1 of 47
Solve these simultaneous equations. 5x + 2y = 17; 4x + 3y = 8.
x = 5, y = -4
2 of 47
Emma buys 3 gingerbread men and 2 cupcakes in a bakery and pays £4.05. James buys 2 gingerbread men and 5 cupcakes from the same bakery and pays £6. What is the cost of 1 gingerbread man and of 1 cupcake?
1 gingerbread man = 75p. 1 cupcake = 90p.
3 of 47
Solve this inequality. 4x + 1 > 6x + 5
-2 > x
4 of 47
Solve this inequality. -6 ≤ 4 (x - 5) < 7 - x
3.5 ≤ x < 1
5 of 47
A fast-food chain launches a new milkshake range. The milkshakes are sold in three different sizes and there are four different flavours. How many combinations are there?
12
6 of 47
State whether this is event is dependant or independent: Rolling two six-sided dice.
Independent
7 of 47
State whether this is event is dependant or independent: Randomly taking a counter from a bag, replacing it, and then taking another one.
Independent
8 of 47
State whether this is event is dependant or independent: Randomly taking a chocolate from a box, eating it, and then taking another.
Dependant
9 of 47
State whether this is event is dependant or independent: Randomly taking two pencils from a packet of 12 coloured pencils.
Dependant
10 of 47
A falcon was recorded travelling 100 metres in 0.93 seconds. What was its average speed in m/s to 3 significant figures.
108m/s
11 of 47
A falcon was recorded travelling 100 metres in 0.93 seconds. What was its average speed in km/h to 3 significant figures.
/1000 then x3600. = 387km/h
12 of 47
The extension, e, of a spring is directly proportional to the force, F, applied to it. When F = 3.75, e = 1.5. Find a formula for 'e' in terms of 'F'.
e = kf; 1.5 = k x 3.75; k = 1.5/3.75; = 0.4
13 of 47
The extension, e, of a spring is directly proportional to the force, F, applied to it. When F = 3.75, e = 1.5. Calculate the value of 'e' when F = 2.9
2.9/2.5 = 1.16
14 of 47
The extension, e, of a spring is directly proportional to the force, F, applied to it. When F = 3.75, e = 1.5. Calculate the value of 'F' when e = 4.3
4.3 x 2.5 = 10.75
15 of 47
An architect bought a computer that had a value of £1900. Each year the value of the computer depreciates by 30%. Work out the value of the computer after 3 years.
£651.70
16 of 47
In its first year, a car loses 2% of its value every month. It was bought for £15000 at the beginning of January. How much will it be worth at the end of August?
£12761.45
17 of 47
The frequency, f, of a wave is inversely proportional to its wavelength, w. When f = 40, w = 4.5. Find a formula for 'f' in terms of 'w'.
f = 180/w
18 of 47
Steve invests £7000 for 4 years at 3% per annum compound interest. Calculate the value of his investment at the end of the 4 years.
7000 x 1.03^4 = £7878.56
19 of 47
Solve these equations. x^2 + y^2 = 36, x = 2y + 6
x = 6 or x = -3.6, y = 0 or y = -4.8
20 of 47
Solve these simultaneous equations. 3x + 5y = 4, 2x - y = 7
x = 3, y = -1
21 of 47
Find the integer value of x that satisfies both the inequalities: x + 5 > 8 and 2x - 3 < 7
4
22 of 47
Charlie invests £1200 at 3.5% per annum compound interest. Work out the value of Charlie's investment after 3 years.
1200 x 1.035^3 = £1330.46145
23 of 47
-2 ≤ n < 3. 'n' is an integer. Write down all the possible values of 'n'.
-2, -1, 0, 1, 2
24 of 47
Solve 4 - x < 2x - 5
3 < x
25 of 47
Write down the equation of a graph with a maximum point at (4, -1).
y = - (x - 4) - 1
26 of 47
Calculate the exact area satisfied by the inequalities x^2 + y^2 ≥ 16, x ≤ 4 and y ≤ 4.
Radius = 4. Centre = (0, 0). Area of square = 16. π x r^2 = 16π/4 = 4π (area of 1/4 circle).
27 of 47
Use an iterative formula to find the only real solution to x^3 - 2x + 7 = 0 (to 5 decimal places)
Use (Un + 1 = ^3√2Un - 7). = -2.25826
28 of 47
Make 'x' the subject of the formula. t(s - x) = t^3 + 2sx
x = ts/t^3 + 2s + t
29 of 47
Simply fully 25 - x^2/x(x - 5)
-(5 + x)/x
30 of 47
Make 'x' the subject of the formula for y = 3x + 2/x
x = 2/y - 3
31 of 47
Expand and simplify. (5 - √3) (4 + √3)
17 + √3
32 of 47
Expand and simplify. (2 + √7)^2
11 + 4√7
33 of 47
Rationalise the denominator. 7/2 - √5
14 + 7√5/-1
34 of 47
f(x) = x^2 - 4, g(x) = 3x - 1. Work out f(4) + g(5).
26
35 of 47
f(x) = x^2 - 4, g(x) = 3x - 1. Work out f(3) x g(-2).
-35
36 of 47
f(x) = x^2 - 4, g(x) = 3x - 1. Find the value of 'n' where f(n) = 0.
n = +(or)- 2
37 of 47
Plants are sold in three different sizes of tray. A small tray of 30 plants cost £6.50. A medium tray of 40 plants costs £8.95. A large tray of 50 plants costs £10.99. Kaz wants to buy the tray with the best value for money. Which size of tray?
Small tray
38 of 47
Potatoes cost £9 for a 12.5kg bag at a farm shop. The same type of potatoes cost £1.83 for a 2.5kg bag at a supermarket. Where are the potatoes of better value for money?
12.5kg bag
39 of 47
Soap powder is sold in three sizes of box. A 2kg box of soap powder costs £1.89. A 5kg box of soap powder costs £4.30. A 9kg box of soap powder costs £8.46. Which box is the best value for money?
5kg box
40 of 47
Ketchup is sold in three different sizes of bottle. A small box contains 342g and costs 88p. A medium bottle contains 570g and costs £1.95. A large box contains 1500g and costs £3.99. Which bottle gives the best value for money?
342g bottle
41 of 47
In the UK, petrol costs £1.24 per litre. In the USA, petrol costs $3.15 per US gallon. 1 US gallon = 3.79 litres. £1 = $1.47. Where is petrol cheaper?
USA
42 of 47
The equation of a circle is x^2 + y^2 = k. The line x = 5 is a tangent to the circle. Work out the value of 'k'.
25
43 of 47
Change 15/24 into a decimal.
0.0625
44 of 47
Change 2/9 into a decimal.
0.222 (recurring)
45 of 47
Change 0.4747 (recurring) into a fraction.
47/99
46 of 47
Convert 0.178178 (recurring) into a fraction.
178/999
47 of 47

Other cards in this set

Card 2

Front

Solve these simultaneous equations. 5x + 2y = 17; 4x + 3y = 8.

Back

x = 5, y = -4

Card 3

Front

Emma buys 3 gingerbread men and 2 cupcakes in a bakery and pays £4.05. James buys 2 gingerbread men and 5 cupcakes from the same bakery and pays £6. What is the cost of 1 gingerbread man and of 1 cupcake?

Back

Preview of the front of card 3

Card 4

Front

Solve this inequality. 4x + 1 > 6x + 5

Back

Preview of the front of card 4

Card 5

Front

Solve this inequality. -6 ≤ 4 (x - 5) < 7 - x

Back

Preview of the front of card 5
View more cards

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