Uploaded by ArabianBay&CarribbeanBay Owners

Level 7 Maths Final Exam Paper 2

advertisement
Name :
1.
a) Write these in ascending order.
𝟎. 𝟓𝟖𝟎𝟔
𝟏𝟏
𝟏𝟗
𝟐−𝟏
𝟏𝟕
𝟐𝟗
𝟓𝟖%
............ < ............ < ............ < ............ < ............
[2]
b) Write one of the symbols < , > or = in each of the statement to make it correct.
𝟑
… … … . 𝟎. 𝟑𝟖
𝟖
𝟏
… … … . 𝟐𝟓%
𝟒
𝟕𝟓
… … … . 𝟎. 𝟎𝟕𝟓
𝟏𝟎𝟎
[3]
c) Insert one pair of brackets in each statement to make it correct.
i.
𝟐𝟎 − 𝟓 ÷ 𝟓 − 𝟑 = 𝟎
ii.
𝟐𝟎 − 𝟓 ÷ 𝟓 − 𝟑 = 𝟏𝟕. 𝟓
[2]
d) By writing each number to 1 significant figure, estimate the value of
(You must show your working)
9.875 + 18.305
+ 27.837
3.418
2.
d) ..........................
[1]
a) = ..........................
[2]
Give your answer in standard form, correct to 2 significant figures.
a) (𝟕. 𝟓 × 𝟏𝟎𝟑 ) ÷ (𝟐. 𝟓 × 𝟏𝟎−𝟐 ) =
Level 7 : Maths Paper 2
Page 1 / 11
Name :
b) (𝟕. 𝟓 × 𝟏𝟎𝟑 ) + (𝟐. 𝟓 × 𝟏𝟎−𝟐 ) =
3.
b) = ..........................
[2]
a) = ..........................
[2]
b) = ..........................
[2]
Work out these calculations. Leave your answer in index form.
a) 𝟐𝟐 × 𝟑𝟎 × 𝟗𝟐 ÷ 𝟐𝟑 × 𝟑𝟐 × 𝟔−𝟐 =
b) (𝟐𝟐 × 𝟑𝟎 × 𝟗𝟐 ) ÷ (𝟐𝟑 × 𝟑𝟐 × 𝟔−𝟐 ) =
4.
In a year, a concert sells four hundred and ninety-six thousand and fifty tickets.
a) Write this number in figures.
a) = ..........................
[1]
b) The table shows the prices of child ticket and a senior ticket for a concert.
Adult
Child
Senior
$ .............
$ 15.00
$ 25.50
[1]
Alex buys tickets for 2 adults, 3 children and 1 senior.
He pays a total of $159.50. Complete the table above.
c) However, this week all the tickets are being offer at 10% discount.
What are the new prices now ?
Level 7 : Maths Paper 2
Adult
Child
Senior
$ .............
$ ...........
$ .............
[3]
Page 2 / 11
Name :
5.
A cuboid measures 6 cm by 2 cm by 3 cm.
On the 1 cm2 grid, draw an accurate net of this cuboid.
One face of the cuboid has been drawn for you
[3]
Calculate the surface area of the cuboid.
6.
.......................... cm2
[2]
...............................
[3]
In a cinema,there are Class A, Class B and Class C seats.
The ratio of seats Class A : Class B : Class C is 2 : 3 : 7
There are 25 more Class B seats than Class A seats.
Work out the number of Class C seats in the cinema.
Level 7 : Maths Paper 2
Page 3 / 11
Name :
7.
At a cinema, the price of an adult ticket is $5 and child ticket is $3.
a) Find the total cost of 110 adult tickets and 85 child tickets.
a) = $ ........................
[2]
b) = ..........................
[2]
c) = $ ........................
[2]
d) = ........................ %
[2]
b) The total cost of some tickets was $750.
There were 120 adult. Work out the number of children.
c) If the price of an adult ticket was increased by 30%,
what is the new price of an adult ticket?
d) If the price of a child ticket is decreased from $3 to $2.70,
calculate the percentage decrease in the price of a child ticket ?
8.
Alphonso, his wife and child fly from Madrid to the 2022 Olympic Games in Beijing, China.
The adult plane fare is 500 euros. The child fare is 60% of the adult fare.
a) Show that the total plane fare for the family is 1300 euros.
Show all your working clearly.
Level 7 : Maths Paper 2
[2]
Page 4 / 11
Name :
b) Alphonso changes 500 euros into Chinese Yuan
at a rate of 1 euro = 9.91 Chinese Yuan.
How much of Chinese Yuan does he receive ?
[2]
........................ Chinese Yuan
c) Beijing time is 6 hours 30 minutes ahead of Madrid time.
Their plane leaves Madrid at 22 45 on 31 January 2022 (Monday).
The journey takes 11 hours 35 minutes.
Find the day, date & time in Beijing when they arrive.
[3]
Day .........................., Date .............................., Time ....................
9.
The diagram shows 2 parallel lines and 2 straight lines.
a) Find the value of a. (Give a reason for your answer.)
a = ……………… because …………………………………………………………………………………………..
[2]
b) Find the value of b. (Give a reason for your answer.)
b = ……………… because …………………………………………………………………………………………..
[2]
c) Find the value of c.
c = ..........................
Level 7 : Maths Paper 2
[2]
Page 5 / 11
Name :
10.
The diagram shows the front of Dominic’s house.
a) Work out the total area of the front of his house.
a) = ........................ cm2
[2]
b) = ........................ cm2
[2]
b) The door is 1.0 m wide and 2.0 m high.
Each of the 4 windows are 1.5 m wide and 1.2 m high.
Work out the total area of the door and the four windows.
c) Dominic wants to paint the front of his house but not the door and not the 4
windows. Work out the total area he needs to paint.
c) = ........................ cm2
[2]
d) = ........................ tins
[2]
d) One litre of paint covers an area of 5 m2.
Paints are sold in 2.5 litre tins, each costing $25.00.
Dominic buys the least number of tins to paint his house
To paint his house, what is the least number of tins of
paint Dominic needs to buy ?
Level 7 : Maths Paper 2
Page 6 / 11
Name :
e) In a sale, everything in the shop is on 10%.discount offer.
Total cost Dominic pays for the tins of paint he buys?
e) = $ ........................
[2]
11. 50 students each record then the number of glasses of water they drink in one day.
The results for 10 of the students are shown below :2
5
1
3
2
1
0
0
1
1
The results for the remaining 40 students are recorded in the table.
a) Complete the table to show the results for all 50 students.
[2]
b) Find the range.
b) = ..........................
[2]
c) = ..........................
[2]
d) = ..........................
[2]
c) Work out the median.
d) Calculate the mean.
Level 7 : Maths Paper 2
Page 7 / 11
Name :
12. The diagram shows a line L and 2 points, A and B, on a grid.
a) Write down the coordinates of point A.
( …..……… , ………..… )
[1]
b) = ..........................
[2]
…............................
[2]
b) Find the gradient of line L.
c) Write down the equation of line L in the form y = mx + c.
13.
Supermart99 sells cereal in boxes A, B and C.
Work out which box is the best value.
You must show all your working.
..............................
Level 7 : Maths Paper 2
[2]
Page 8 / 11
Name :
14.
The Table below shows the charges for parking at a car park :
Duration of parking
Cost ($)
Up to 20 minutes
Free
More than 20 minutes and up to 2 hours
2.50
More than 2 hours and up to 4 hours
4.50
More than 4 hours and up to 8 hours
8.50
More than 8 hours and up to 24 hours
12.00
a) Anamul arrives at the car park at 11 40 and leaves at 15 30.
How much of parking charges he has to pay ?
a) = $ ........................
[1]
b) = ..........................
[2]
b) Mohd Iqbal leaves his Volvo car park at 17 50 and pays $8.50.
Work out the earliest time he could have arrived at the car park.
c) Henry bought a weekly car parking ticket for $26.00.
That week, he parked his Honda car there on the following days :
Monday (17 minutes), Tuesday (6.5 hours), Thursday (11 hours) & Saturday (9.25
hours). Work out how much he has saved by buying a weekly parking ticket.
c) = $ ........................
[2]
15. A box of 30 Fuji apples is sold for $20 at GM Klang Wholesale.
At a Raya sale, 10% discount will be offer for purchase of > 10 boxes.
a) Rosmah buys 50 boxes of Fuji apples to sell at the Klang Pasar Malam.
How much does she pay for these 50 boxes of Fuji apples?
a) = $ ........................
Level 7 : Maths Paper 2
[2]
Page 9 / 11
Name :
b) However, she found 10% of the apples are rotten.
Calculate the profit she will earn if she sells the apple at 80 cents each.
b) = $ ........................
[2]
c) Find the selling price of each Fuji apple if she wants to earn 50% profit.
16.
c) = $ ........................
[2]
a) = ..........................
[1]
nth term = ..........................
[2]
c) = ..........................
[2]
These are the first four terms of a sequence :
19
12
5
-2
a) Write down the next term.
b) Find the nth term of this sequence.
c) Show that -51 is a term in this sequence.
Level 7 : Maths Paper 2
Page 10 / 11
Name :
17.
The diagram shows cuboid A and cuboid B.
Cuboid A has the same volume as cuboid B.
Calculate the height, h, of cuboid B.
........................ cm
[2]
18. The latest Apple Macbook Pro is priced at $9000.
Wadeed buys the Apple Macbook Pro on hire purchase according to the following terms:
a down payment of 20% and the remaining to be paid in monthly instalments over 24
months at a simple interest rate of 5% per annum.
a) How much is the down payment he pays ?
a) = $ ........................
[2]
b) = $ ........................
[3]
b) Find his monthly instalment
c) Find the total amount Wadeed pays for the Apple Macbook Pro after 2 years..
c) = $ ........................
Level 7 : Maths Paper 2
[2]
Page 11 / 11
Download