Al Noor International School

1st Term 2014-2015

Final Exam paper

Level 10

Name:

Date :

1 A concert hall has 1540 seats.

Calculate the number of people in the hall when 55% of the seats are occupied.

2 Shade the required region on each Venn diagram.

A B A B

A ∪ B' (A ∩ B)'

3 Calculate 810.25−4−2

4 (a) Find m when 4m × 42 = 412 .

(b) Find p when 6 p ÷ 6 5 = 6 .

5 A hummingbird beats its wings 24 times per second.

(a) Calculate the number of times the hummingbird beats its wings in one hour.

(b) Write your answer to part (a) in standard form.

6 Alberto and Maria share $240 in the ratio 3 : 5.

(a) Show that Alberto receives $90 and Maria receives $150.

(b)(i) Alberto invests his $90 for 2 years at r % per year simple interest. At the end of 2 years the amount of money he has is $99. Calculate the value of r.

(ii) The $99 is 60% of the cost of a holiday. Calculate the cost of the holiday.

(c)Maria invests her $150 for 2 years at 4% per year compound interest. Calculate the exact amount Maria has at the end of 2 years.

(d)Maria continues to invest her money at 4% per year compound interest. After 20 years she has $328.67.

(i) Calculate exactly how much more this is than $150 invested for 20 years at 4% per year simple interest.

Answer(d)(i) $

(ii) Calculate $328.67 as a percentage of $150.

7 A rectangular photograph measures 23.3 cm by 19.7 cm, each correct to 1 decimal place. Calculate the lower bound for

(a) the perimeter,

Answer(a) cm

(b) the area.

8 A train leaves Barcelona at 21 28 and takes 10 hours and 33 minutes to reach Paris.

a) Calculate the time the next day when the train arrives in Paris.

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b) The distance from Barcelona to Paris is 827 km.

Calculate the average speed of the train in kilometres per hour.

c) Convert the average speed to metre per seconds.

9 Work out 72 cents as a percentage of 83 cents.

10 Calculate 5.27−0.934.89−4.07

. Give your answer correct to 4 significant figures

11 Calculate 17.5% of 44 kg.

12 Solve the equation to find x.

5 – 2x = 3x – 19

13 The length, p cm, of a car is 440 cm, correct to the nearest 10 cm. Complete the

statement about p.

14 Emily invests $x at a rate of 3% per year simple interest. After 5 years she has $20.10 interest. Find the value of x.

15 The volume of a child’s model plane is 1200 cm3. The volume of the full size plane

is 4050 m3. Find the scale of the model in the form 1 : n.

16 (a) 3x = 4√35 Find the value of x.

(b) Simplify(32 y15)(2 /5 )