Mathematics Olympiad Past Questions and Answers Pdf Download – Are you Preparing for the Nigerian Olympiad Science and Mathematics Examination organized by the National Mathematical Center, NMC Abuja? This is the official Nigerian Olympiad Science & Mathematics Past Questions for both Junior and Senior Students.

National Mathematical Center, NMC National Olympiad Science & Mathematics Competition Past Questions | 1st, 2nd, 3rd Round Questions Free Download | Junior & Senior Category

The Nigeria Mathematics & Sciences Olympiad Competition for Senior and Junior Students holds 1st round examination in **November of every year and 2nd round in February of every year.**

Check out the NMC Olympiads Science Competition General Time-Table.

Forms can be purchased at the State Ministries of Education.

Meanwhile, grab a cup of coffee while downloading the past questions below:

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## Nigerian Olympiad Science & Mathematics Past Questions pdf

In other to know that we are giving out the original Nigerian mathematics olympiad past questions pdf, we have decided to give you some free samples as proof of what we said earlier.

*Mathematics past questions*

1. If M represents the median and D the mode of the measurements 5, 9, 3, 5, 8 then (M,D) is

A. (6,5) B. (5,8) C. (5,7)

D. (5,5) E. (7,5)

2. A construction company is owned by two partners X and Y and it is agreed that their profit will be divided in

the ratio 4:5. at the end of the year. Y received #5,000 more than x. what is the total profit of the company for

the year?

A. #20,000.00 B. P’0#25,000.00 C. #30,000.00

D. #15,000.003 E.#45,000.00

3. Given a regular hexagon, calculate each interior angle

of the hexagon.

A. 600 B. 300 C. 1200

D. 450 E. 1350

4. Solve the following equations

4x – 3 = 3x + y = 2y + 5x – 12

A. 4x=5, y= 2 B. x=2, y=5 C. x=-2, y=-5

D. x=5,y=-2 E. x=-5,y=-2

5. If x = 1 is the root of the equation

x3 – 2×2 – 5x + 6, find the other roots

A. -3and2 B. –2 and2 C. 3and –2

D. 1and 3 E. –3and 1

6. If x is jointly proportional to the cube of y and the fourth power of z. In what ratio is x increased or decreased when y is halved and z is doubled?

A. 4:1 increase B. 2:1increase C. 1:4 decrease

D. 1: 1 no change E. 3: 4 decrease

7. In the above figure PQR = 600, QPR= 900, PRS = 900, RPS = 450,QR= 8cm.Determine PS

A. 2Ö3cm B. 4Ö6cm C. 2Ö6cm

D. 8Ö6cm E. 8cm

8. Given that cos z = L, where z is an acute angle find an expression for Co +Z – cosecz sec Z + tan z

A. l – L B. L2-Ö1-L2 C. -L-Ö1-L

1+L L2+L-1 (C1+L) +Ö1-L2

D. ÖL-1. E. L-(L2-1)

(L1+L2) +Ö1-L2 1+ Ö1 – L2+ Ö1 – L2

9. If 0.0000152 x 0.00042 =Ax108,where 1 £A< 10, find A and B.

A. A= 9, B= 6`.38 B. A= 6.38, B = -9 C. A= 6.38, B = 9

D. A= 6.38, B = -1 E. A= 6.38, B= 1

10. If x + 2 and x – 1 are factors of the expressions lx +

2kx2 + 24, find the values of l and k

A. l=-6,k=-9 B. l=-2,k= 1 C. l=-2,k=-1

D. l=0,k= 1 E. l=6,k= 0

11. Make T the subject of the equation

av = 3 2V + T

1- V a 2T

A. 3av/(1-v) B. 2v(1-v)2 – a2v2/2a2v2 – (1-V)2

C. 2v(1 – v)2 + a3v2/ 2a2v2 + (1 – v)2

D. 2v(1 – v)2 – a4v3/2a3v3 – (1 – v)3

E. 2v(1-v)3 – a4v3/2a3v3 + (1-v)3

12. In a class of 60 pupils, the statistical distribution of the number of pupils offering Biology, History, French,

Geography and Additional Mathematics are as shown in the pie chart above. How many pupils offer Additional

Mathematics?

A. 15

B. 10

C. 18

D. 12

E. 28

13 The value of (0.303)3 – (0.02)3 is

A. 0.019 B. 0.0019 C. 0.00019

D. 0.000019 E. 0.000035

14. y varies partly as the square of x and y partly as the inverse of the square root of x. write down the expression for y if y= 2 when x = 1 and y= 6 when x = 4

A. y = 10×2 + 52 B. y = x2 + 1

31 31Öx Öx

C. y= x2 + 1 D. y= x2 + 1 E. y = 10 (x2 + 1 )

x 31 31Ö x 31( Öx)

15. Simplify (x – 7) / (x2 – 9) ( x2 – 3x)/( x2 – 49)

A. x/(x-3)(x+7) B. (x+3)(x+7)/x C. x/(x-3)(x –7)

D. x/(x+3)(x+7) E. x/(x+4)(x+7)

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