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- Created by: onion
- Created on: 12-06-22 23:09
1 (a) Write these numbers in standard form.
(i) 6500
(a)(i) .......................................................... [1]
(ii) 0.0584
(ii) .......................................................... [1
(i) 6500
(a)(i) .......................................................... [1]
(ii) 0.0584
(ii) .......................................................... [1
1 (a) (i) 6.5 × 10
(ii) 5.84 × 10^-2
(ii) 5.84 × 10^-2
1 of 19
2) James is taking three examination papers in Spanish.
Here are his first two results.
Paper 1: 43/80 Paper 2: 38/65
Paper 3 is out of 95.
The marks in each of the three papers are added together.
Find the lowest mark that James needs in Paper 3 to
Here are his first two results.
Paper 1: 43/80 Paper 2: 38/65
Paper 3 is out of 95.
The marks in each of the three papers are added together.
Find the lowest mark that James needs in Paper 3 to
80+65+95=240
60/100=0.6
240x0.6=144
144-43-38=63
63
60/100=0.6
240x0.6=144
144-43-38=63
63
2 of 19
3) Three people take 2 1/2
hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes
hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes
2.5 x 405/270 x 3/5=2.25
2.25 ---> 2hr15min
2hr15min
2.25 ---> 2hr15min
2hr15min
3 of 19
In a survey, 60 students were asked whether they have a bank account (B) and whether they have
a part-time job (J).
The number of students who had neither a bank account nor a part-time job was x.
The Venn diagram shows the results in terms of x
B
a part-time job (J).
The number of students who had neither a bank account nor a part-time job was x.
The Venn diagram shows the results in terms of x
B
x+2x + x-1 + 5x-2 =60
9x=63 --> x=7
2x=14
x-1=6
5x-2=33
P(B)= (14+6) / 60 = 1/3
1/3
9x=63 --> x=7
2x=14
x-1=6
5x-2=33
P(B)= (14+6) / 60 = 1/3
1/3
4 of 19
idk
idk
5 of 19
A cuboid measures 6 cm by 8 cm by 15 cm.
A cube has the same volume as the cuboid.
Find the surface area of the cube, giving your answer correct to 3 significant figures
A cube has the same volume as the cuboid.
Find the surface area of the cube, giving your answer correct to 3 significant figures
cube/cuboid= 15x8x6=720cm^2
3√720=8.96
8.96x6=481.99 --> 482
482
3√720=8.96
8.96x6=481.99 --> 482
482
6 of 19
7 (a) Show that the gradient of the line is 2.5.
(b) Write down the equation of the line
(b) Write down the equation of the line
a) 5/2= 2.5
2.5
b) y=mx+c
y=2.5x-1
2.5
b) y=mx+c
y=2.5x-1
7 of 19
Lily buys and sells microwaves.
She buys each one for £32 and sells it for £60.
She also pays £7 for the delivery of each microwave she sells.
If she sells a microwave that is faulty then Lily must pay for its repair and redelivery.
This costs her another
She buys each one for £32 and sells it for £60.
She also pays £7 for the delivery of each microwave she sells.
If she sells a microwave that is faulty then Lily must pay for its repair and redelivery.
This costs her another
Expected number of faulty microwaves:
6/80 x 133=9.975
9.975 --> 10
Expected costs:
133(32+7)+10+25
=5437
Income from sales:
133x60=7980
Expected percentage profit:
(7980-5437) / 5437 x100
=46.77
46.77%
6/80 x 133=9.975
9.975 --> 10
Expected costs:
133(32+7)+10+25
=5437
Income from sales:
133x60=7980
Expected percentage profit:
(7980-5437) / 5437 x100
=46.77
46.77%
8 of 19
(a) The shop sold 32 umbrellas in quarter 4 of 2019.
Complete the graph. [1]
(b) Make one comment about the seasonal variation shown in this graph.
(c) Make one comment about the annual variation shown in this graph.
Complete the graph. [1]
(b) Make one comment about the seasonal variation shown in this graph.
(c) Make one comment about the annual variation shown in this graph.
b) Lowest in quarter 3
c) Sales rise every year
d) Her sales will continue contanstly
c) Sales rise every year
d) Her sales will continue contanstly
9 of 19
The diagram shows Jane’s lawn.
It is in the shape of a square of side 36m and three semi-circles
She is going to spread fertiliser on the lawn at a rate of 30g per square metre.
The fertiliser is only sold in 10kg bags costing £15.80 each.
Calculate the
It is in the shape of a square of side 36m and three semi-circles
She is going to spread fertiliser on the lawn at a rate of 30g per square metre.
The fertiliser is only sold in 10kg bags costing £15.80 each.
Calculate the
36x36+3 (πx18^2) /2 =2822.8
2822.8x30=84684.42
84684.42 --> 8.468=9
9x15.80=142.20
142.20
2822.8x30=84684.42
84684.42 --> 8.468=9
9x15.80=142.20
142.20
10 of 19
11 (a) The length, d, of Jamal’s car is 4.72m, correct to 2 decimal places.
Complete the error interval for the length, d
(b) Jamal travels 430km, correct to the nearest 10km.
His average speed is 57.3km/h, correct to 1 decimal place.
Calculate
Complete the error interval for the length, d
(b) Jamal travels 430km, correct to the nearest 10km.
His average speed is 57.3km/h, correct to 1 decimal place.
Calculate
a) 4.715 < d < 4.725
b) 425/57.3=7416
7416 --> 7hr25min
b) 425/57.3=7416
7416 --> 7hr25min
11 of 19
2) (b) Describe fully the single transformation that is equivalent to:
• a reflection in the line y x = , followed by
• a reflection in the x-axis.
You may use the grid above to help you
• a reflection in the line y x = , followed by
• a reflection in the x-axis.
You may use the grid above to help you
Rotated 90 degrees clockwise
12 of 19
13 ) b) Find the interquartile range of Beth’s scores.
c) Kareem says
Beth was more consistent than Ali because Beth had a lower median score.
Is his statement correct?
Explain your reasoning.
c) Kareem says
Beth was more consistent than Ali because Beth had a lower median score.
Is his statement correct?
Explain your reasoning.
b) 16
c) No because Beth's range is higher so it's less consistent
c) No because Beth's range is higher so it's less consistent
13 of 19
14) AC = 15cm, BC = 18cm and angle BAC = 72°.
Calculate length AB, giving your answer correct to 3 significant figures.
Show your working
Calculate length AB, giving your answer correct to 3 significant figures.
Show your working
(sin72)/18 --->
14 of 19
15 Here are two pieces of work.
For each one, describe the error made and give the complete correct solution.
a) Question:
Solve by factorisation.
3x2 – 2x – 5 = 0
Solution:
(3x + 5)(x – 1) = 0
Therefore x = -5/3 or x = 1
b)
For each one, describe the error made and give the complete correct solution.
a) Question:
Solve by factorisation.
3x2 – 2x – 5 = 0
Solution:
(3x + 5)(x – 1) = 0
Therefore x = -5/3 or x = 1
b)
a) Error: Signs are wrong way round
3x^2-2x-5=0
3x^2+3x-5x-5=0
3x(x+1) - 5(x+1)=0
3x-5=0 x+1=0
x=5/3, 1
3x^2-2x-5=0
3x^2+3x-5x-5=0
3x(x+1) - 5(x+1)=0
3x-5=0 x+1=0
x=5/3, 1
15 of 19
y is inversely proportional to the square of x.
y = 2 when x = 5.
Find a formula linking x and y.
y = 2 when x = 5.
Find a formula linking x and y.
y=k/x^2
2=k/5^2
k= 2x5^2=50
y=50/x^2
2=k/5^2
k= 2x5^2=50
y=50/x^2
16 of 19
17 Expand and simplify.
(x+1)(x-1)(x+2)
(x+1)(x-1)(x+2)
(x^2)(x+2)
x^3+2x^2-x-2
x^3+2x^2-x-2
17 of 19
idk
idk
18 of 19
19 (a) The graph shows the speed of a vehicle during the first 40 seconds of motion.
Calculate the distance travelled by the vehicle during the 40 seconds
b) (i) Work out the average speed of the particle between 2 and 4 seconds
Calculate the distance travelled by the vehicle during the 40 seconds
b) (i) Work out the average speed of the particle between 2 and 4 seconds
a) d=0.5(35+40)30=1125 ---> 975
975
b) (i) 18/2=9
9
(ii)
975
b) (i) 18/2=9
9
(ii)
19 of 19
Other cards in this set
Card 2
Front
2) James is taking three examination papers in Spanish.
Here are his first two results.
Paper 1: 43/80 Paper 2: 38/65
Paper 3 is out of 95.
The marks in each of the three papers are added together.
Find the lowest mark that James needs in Paper 3 to
Here are his first two results.
Paper 1: 43/80 Paper 2: 38/65
Paper 3 is out of 95.
The marks in each of the three papers are added together.
Find the lowest mark that James needs in Paper 3 to
Back
80+65+95=240
60/100=0.6
240x0.6=144
144-43-38=63
63
60/100=0.6
240x0.6=144
144-43-38=63
63
Card 3
Front
3) Three people take 2 1/2
hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes
hours to deliver leaflets to 270 houses.
Assuming all people deliver leaflets at the same rate, how long will it take five people to deliver
leaflets to 405 houses?
Give your answer in hours and minutes
Back
Card 4
Front
In a survey, 60 students were asked whether they have a bank account (B) and whether they have
a part-time job (J).
The number of students who had neither a bank account nor a part-time job was x.
The Venn diagram shows the results in terms of x
B
a part-time job (J).
The number of students who had neither a bank account nor a part-time job was x.
The Venn diagram shows the results in terms of x
B
Back
Card 5
Front
idk
Back
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