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## Maths Exam questions

```
FIRST TERM  EXAMINATION, 2010/2011 SESSION.
SUBJECT: MATHEMATICS 1 (OBJECTIVE)
CLASS: SSS 2 	       	         	TIME ALLOWED:2½HRS

What is .2857 + .4993 in logarithm bar notation 	(A)  7850	(B) 8.7850
(C)  .7850	(D)  2.7850
Evaluate v20  x (v5)3		(A) 90		(B) 70		(C) 55		(D) 50
Given  m = 3 and n = 2, find the value of 3n2 – 2m3 /m	(A) 2	(B) 2	(C) -6	(D) -20
Simplify 3.72 x 0.025 and express your answer in the standard form. 	(A) 9.3 x 103
(B) 9.3 x 102	(C) 9.3 x 10-2	(D) 9.3 x 10-3
Express 398753 correct to three significant figures.	(A) 398000	(B) 398700
(C) 398800	(D) 399000
Solve the equation 3x2 + 25x – 18 = 0 (A) -3, 2	(B) -2, 3	   (C) -2, 9	(D)  -9, 2/3
Find the nth or Tn term of the sequence 4, 10, 16…  	(A)  2(3n – 1)		(B)  2(2 + 3n-1)	(C) 2n + 2	(D) 2(3n + 2)
What is .5  5 in logarithm bar notation	(A) 2.9	 (B) .9	  (C) 9.2	(D) .2
Solve (x +1  )2 = 1  	(A)  or 	(B)  or 	(C)    (D) 
Factorize n2 + 3n + 2 = 0	(A) 5	(B) 0	(C) 5 and 0	(D) -1 or 2
In a class of 80 students, every student studies Economics or Geography or both. If 65 students study Economics and 50 studies Geography, how many study both subjects?  (A) 15
(B) 30	(C) 35	(D) 45
In a bag of oranges, the ratio of the good ones to the bad ones is 5 : 4. If the number of bad oranges in the bag is 36,. How many oranges are there altogether? (A) 81 (B) 72	(C) 54	(D) 45
Use the information below to answer questions 13 and 14.
The diagram below represents the vertical cross section of a mountain with height NQ standing on a horizontal ground PRN. If the angles of elevation of the top Q of the mountain from P and R are 300 and 700 respectively and PR = 500.



Calculate correct to 3 significant figures PQ      (A) 731m	    (B) 721m   (C) 631m
(D) 666m
Calculate the height of the mountain to 3 significant figures.  (A) 365m	(B) 356m	(C)345m	(D) 354m
The 6th term of an A.P. is 35 and 13th term is 77. Find the 20th term. (A)119	(B) 118
(C)117		(D) 116
If S  R, then	(A) S  R = R	(B) S   R = S     (C)  S  R = S	(D) S   R = S1
The nth term of a sequence is represented by 3 x 2(2-n). Write down the first three terms of the sequence. (A) 2/3, 3, 6	(B) 6, 3, 3/2	(C) 3/2, 3, 1/3	(D) 3/2, 3, 8/3
Simplify (1/4)-3/2    (A) 10	(B) 9	(C) 8	(D) 7
Find the number whose logarithm to base 10 is 2.6025  (A) .4004  (B) 4.004 (C) 40.04 (D) 400.4
Solve the equation 5x2 – 4x – 1 = 0  (A) -1, 1/5  (B) -1, -1/5   (C) 11/5  (D) 1, -1/5
Find (x – y) if 4x – 3y = 7 and  3x -2y = 5  (A) 4	(B) 3	(C) 2	(D) -2
Evaluate 3   (A) 50	(B) 25	(C) 20	(D) 10
If P =  and Q = , which of the following is correct?
(A) (P   Q)’ = (B)  n = 4	(C)  Q = 	(D) P  = 
The side of a square is increased from 20cm to 21cm. Calculate the percentage increase in its area.   (A) 2.5%	(B)  9.3%	(C) 10.0%	(D) 10.25%
From top of a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff.   (A) 14.90	(B) 15.50
(C) 75.10	(D) 76.50
Express 7/19 as a percentage, correct to 1 decimal place. (A) 2.7%	(B) 3.7%
(C)  27.1%	(D) 36.8%
Evaluate Cos 450 Cos 300 – Sin 450 Sin 300, leaving the answer in the surd form.  (A) 
(B)  	(C) 	(D)
Simplify   	(A)  	(B)   	(C)	(D)
What fraction must be subtracted from the sum of 2  and 2  to give 3    (A) 1/4	(B)1/2	(C) 1  	(D) 1
The sum of money is shared among nine people so that the first gets N75, the next N150, the next N225, and so on.
Use the above information to answer questions 30 and 31
How much money does the ninth person get?	(A) N673 	(B) N574	(C) N675	(D) N577
How much money is shared altogether?	   (A) N3375	(B)  N3398	(C)  N4375
(D) N675
Which of the following is a perfect cube?    (A) 1728	(B) 950		(C) 504 	(D) 350
Given that the logarithm of a number is 1.8732, find correct to 2 significant figures, the square root of the number.	(A) 0.29	(B) 0.75	(C) 0.86	(D) 0.93

A tree is 8km due south of a building. Kofi is standing 8km west of the tree.
Use this information to answer questions 34 and 35
How far is Kofi from the building?  (A) 4	(B) 8 km	(C) 8	(D) 16 km
Find the bearing of Kofi from the building.	(A) 3150	(B) 2700	(C) 2250
(D) 1350
Solve the equation 3 + 5x – 2x2 = 0	(A) -1/2, -3	(B) 2, 3	      (C) -2, 3	(D) -1/2, 3
If the simple interest on N2,000 after 9 months is N60, at what rate per annum is the interest charged?	(A) 21/2%	(B) 4%		(C) 5%		(D) 6%
A cylindrical well of radius 1 meter is dug out to a depth of 8 meters. Calculate, in m3, the volume of soil dug out.		(A) 25.14m3	(B) 24. 41m3	(C) 25.14m2	(D) 24.41m2
A sphere of radius 2m is of mass 11.2kg.
Use the above information to answer questions 39 to 40 (Take p = 22/7 )
(Hint: Density =  )
What is the volume of the sphere    	(A)  64m3      (B) 54m3	(C) 44m3     (D)34m3
What is the density of the sphere	(A) 0.23kg/m3	(B) 0.30kg/m3	(C) 0.33kg/m3
(D) 0.36kg/m3
In a class of 80 students, every student studies Economics or Geography or both. If 65 students study Economics and 50 studies Geography, how many study both subjects?	(A) 25	(B) 28	(C) 35	(D) 38
A man is four times as old as his son. The difference between their ages is 36 years. Find the sum of their ages.	(A) 30 years 	(B) 40 years	(C) 50 years	(D) 60 years
Which of the following is not a quadratic equation?	(A) y = 2x2 – 5x		(B) y = x(x-5) (C) y = x2 - 5	(D) y = (x-1)
A chord of length 30 cm is 8 cm away from the centre of the circle. What is the radius of the circle?	  (A) 26 cm	(B) 17 cm	(C) 18 cm	(D) 19 cm
A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 notebooks and 2 pens, all of the same type for N30. What is the cost of a pen?
(A) N5.00	(B) N7.00	(C) N10. 00	(D) N15. 00

Use the following Venn diagram to answer questions 46 and 47



How many elements are in P  Q	(A) 1	(B) 2	(C) 4	(D) 6
Find Q  R	(A) 		(B) 	(C) 	(D) 
Find the value of x in the diagram

100		(B) 280		(C) 360		(D) 440
A point X is on the bearing 3420  from a point Y. What is the bearing of Y from X?
3420	(B) 2520	(C) 1980	(D) 1620
The 2nd , 3rd and 4th terms of an A.P are x – 2, 5 and x + 2 respectively. Calculate the value of x.	(A) 5	(B) 6	(C) 7	(D) 8

```

### Maths Exam guide

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