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Maths Paper 1 Test 21 Find the value of

a) 3, 03 + 0, 956 [1]

b) [1]c) 4, 325, 21 [1]

2 Find the exact value of

a) 8 x m0 [1]

b) 8xwherex= [1]

c) [1]3 Solve the equations

a) =

[1]

b)x2 + 5x= 20 [2]

4 Simplify as far as possible. a)

[1]

b) 3(6x5) -2(4x-7) [2]

5 Three brothers aged 36, 24 and 18 years share $5, 2 million in the ratio 0f

their ages.

a) Write down the ratio of their ages in descending order and in its simplestform [1]

b)Calculate the youngest brothers share. [2]

6 a) Express 9,8988 correct to, i) 3 decimal places [1]

ii) 3 significant figures [1]

b) Giving your answer in base 8, simplify 1238 - 5210 [2]

7 For the numbers 10; 2; 9; 3; 9; 5, find

a) The mode, [1]b) The median [1]

c) The mean [1]

8 a) Factorize completely, (i)x29 [1]

(ii)x2 -2x-15 [1]

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Maths Paper 1 Test 2b) Hence simplify [1]

9 Solve the simultaneous equations 3x+ 2y = 8 [3]

10 A company director went to Britain and America on business. Her company

gave her an allowance of 2000.

a) While in Britain she spent of her allowance. Calculate the amount she

spent [1]

b) In America she converted all her remaining allowance into US$ at the rate

of 1 to US$1, 92. Calculate the amount she received in US$. [2]

11 a) Given that -5

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Maths Paper 1 Test 213 it is given that p = and q =

.Find

a)x, if p is parallel to q. [1]

b) IpI, leaving your answer in surd form [2]

14 a) Solve the inequality 8 3x-7 < 19 [2]b) Represent your answer on a number line [1]

15 a) Given thatx 0,5; state the least possible value ofxifxis a primenumber [1]

b) The diagram below shows the region defined by three inequalities, two of

which arex 0 and y 0.

Find the third inequality [2]

16 It is given that D is a 2 by 2 matrix such that D + = a) Find D [2]

b) Write down the determinant of . [1]c) Given that the matrix ( ) is singular. Calculate the two possiblevalues of y [3]

17 P, Q and R are points on the level ground as shown in the diagram below

The bearing of R from Q is 160

o

, the bearing of P from R is 300

o

and QPR =50o. Find the three figure bearing of

a) Q from R, [1]b)Q from P. [2]

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Maths Paper 1 Test 2

18 Given that log2 = 0,3031 and log3 = 0,4770, Find

a) log 6 [1]

b) log5 [2]

c) log [2]19 In the diagram, TE is a tangent to the circle centre O. AOD is a straight line,

arc ED = arc DC and TEA = 70o.

Calculate a) AEO [1]

b) EAD, [1]

c) CAD [1]

d) ABC [2]

20 The Venn diagram below shows set X , Y and the set.

On separate copies of the diagram, shade

a) XI U Yb)XI Y [3]

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Maths Paper 1 Test 2

21 Two fair six sided dies are thrown and the results noted. Calculate the

probability that the sum of the outcomes is a) 11 [2]

b) a prime number [2]

22 a) Given that

= , expressxin terms of y [2]

b) Express - as a single fraction in its simplest form [2]

23 a) A discount of 15% is given on all goods sold for cash in a shop. Calculate

the cash price of an article that has a marked price of $68.00 [2]

b) The price of a magazine was $16.50 in 1999.Given that this was an

increase of 10% from the 1988 price, calculate the price of the magazine in

1998 [2]

24 y varies directly as the square ofxand inversely as z.

a) Write down a formula for y in terms ofx, z and a constant, k [1]

b) Given that y =18 when x = 3 and z = 5, find the value k [2]

c) Calculate the value ofxwhen y = 20 and z = 6, leaving your answer in

surd form [2]

25 The diagram below shows the velocity time graph of a car during a period of

14 seconds. Calculate

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Maths Paper 1 Test 2a) The acceleration of the car during the first 4 seconds [1]b)The velocity of the car at the 3rd seconds [1]c) The velocity of the car at the end of the 13th second [2]d)The total distance travelled by the car [3]

26 a) Estimate to the nearest whole number the value of [2]b) The length of a square is given as 10cm correct to one significant figure.

Find the smallest possible area of the square. [2]

27 In this question take to be .

Figure 1 is a cone of base 9cm and height 28cm. Figure 2 is a triangular

prism with measurements as shown. Figure 1 and Figure 2 have the same

volume.

Calculate a) the volume of the cone [2]

b. The value ofx, leaving your answer in surd form [2]

[Volume of the cone =r

2h where r = base radius and h = height.]

TOTAL 100%

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