Countdown to your final Maths exam …
Part 11(2017)
Marks
Q1. Forming and solving equations
4
Q2. Forming and solving equations
5
Q3. Forming and solving equations
4
Q4. Expand, factorise and simplify
3
Q5. Expand, factorise and simplify
4
Q6. Expand and simplify
6
Q7. Inequalities
4
Q8. Percentages - VAT
3
Q9. Compound interest
3
Q10. Percentages
2
Q11. Percentages
3
Q12. Compound interest
2
Q13. Percentages
5
Q14. Percentage of an amount
5
Q15. Depreciation
4
57
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Actual
Questions
Q1. Kumar has three boxes of counters A, B and C.
There are x counters in box A.
There are (2x + 7) counters in box B.
There are (3x − 4) counters in box C.
There is a total of 75 counters in the three boxes.
Work out the number of counters in box B.
...........................................................
(Total for question = 4 marks)
Q2. Stephanie is x years old.
Tobi is twice as old as Stephanie.
Ulrika is 3 years younger than Tobi.
The sum of all their ages is 52 years.
(a) Show that 5x − 3 = 52
(3)
(b) Work out the value of x.
x =.........................(2)
(Total for Question is 5 marks)
Q3. Asha and Lucy are selling pencils in a school shop. They sell boxes of pencils and single pencils.
Asha sells 7 boxes of pencils and 22 single pencils.
Lucy sells 5 boxes of pencils and 2 single pencils.
Asha sells twice as many pencils as Lucy.
Work out how many pencils there are in a box.
You must show all your working.
...........................................................
(Total for question = 4 marks)
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Q4. (a) Expand
5(m + 2)
(1)
(b) Factorise
y2 + 3y
(c) Simplify
a ×a
(1)
5
4
(1)
(Total for Question is 3 marks)
Q5. (a) Expand and simplify
7a + 4(a − 2b)
(2)
(b) Simplify
n6 × n5
(1)
(c) Factorise
5x + 10
(1)
(Total for question = 4 marks)
Q6. (a) Expand and simplify
3(x + 4) + 2(5x− 1)
(2)
(b) Expand and simplify
(2x + 1)(x − 4)
(2)
(c) Factorise completely
6y − 9xy
2
(2)
(Total for Question is 6 marks)
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Q7. −2 ≤ n < 3
n is an integer.
(a) Write down all the possible values of n.
(2)
(b) Solve 4 − x < 2x − 5
(2)
(Total for question = 4 marks)
Q8. A ticket to a theme park costs £35 plus 20% VAT.
Work out the total cost of the ticket.
(Total for Question is 3 marks)
Q9. Franz invests £2500 for 2 years at
per annum compound interest.
Work out the value of his investment at the end of 2 years.
£ ...........................................................
(Total for question = 3 marks)
Q10. There are 210 counters in a bag.
30% of these counters are red.
Work out the number of red counters in the bag.
...........................................................
(Total for question = 2 marks)
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Q11. During a 10 year period, the number of people living in Sherbury increased by 5% to 20 265
In the same period, the number of people living in Yaston increased by 7.5% to 13 502
Compare the increase in the number of people living in Sherbury with the increase in the number of
people living in Yaston during this 10 year period.
(Total for question = 3 marks)
Q12. Helen invested £6000 for n years in a savings account. She got 3% compound interest each
year.
At the end of n years Helen had £7379.24 in her savings account.
Work out the value of n.
You must show your working.
(Total for question = 2 marks)
Q13. Bhavin buys a car in a sale.
Before the sale, the cost of the car was £6720
In the sale, the cost of every car is reduced by 20%.
Bhavin pays a deposit of £1500
He will pay the rest of the cost in 24 equal monthly payments.
Work out the amount of each monthly payment.
You must show all your working.
£ ...........................................................
(Total for question = 5 marks)
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Q14. Here is a diagram of a small field.
All the corners are right angles.
90% of the field is going to be used to grow wheat.
Work out the area of the field that is going to be used to grow wheat.
........................................................... m2
(Total for Question is 5 marks)
Q15. This notice was in a car magazine.
Paul bought a new car. The value of the car was £15 000
In the first year, the value of the car depreciated by 23%.
After the first year, the value of the car depreciated by 18% each year.
Work out if Paul's car lost more than half of its value by the end of three years.
(Total for question = 4 marks)
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