# NMC Olympiad 2020/2021 Senior Mathematics Round 2 Past Question

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This is the **“NMC Olympiad 2020/2021 Senior Mathematics Round 2 Past Question”**

**Looking for Nigerian Mathematics Olympiad past questions in PDF format?**

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Mathematics past questions

- If M represents the median and D the mode of the measurements 5, 9, 3, 5, 8 then (M, D) is
- (6,5) B. (5,8) C. (5,7)
- (5,5) E. (7,5)
- A construction company is owned by two partners X and Y and it is agreed that their profit will be divided in

a ratio of 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?

- #20,000.00 B. P’0#25,000.00 C. #30,000.00
- #15,000.003 E.#45,000.00
- Given a regular hexagon, calculate each interior angle

of the hexagon.

- 600 B. 300 C. 1200
- 450 E. 1350
- Solve the following equations

4x – 3 = 3x + y = 2y + 5x – 12

- 4x=5, y= 2 B. x=2, y=5 C. x=-2, y=-5
- x=5,y=-2 E. x=-5,y=-2
- If x = 1 is the root of the equation

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

- -3and2 B. –2 and2 C. 3and –2
- 1and 3 E. –3and 1
- 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?
- 4:1 increase B. 2:1increase C. 1:4 decrease
- 1: 1 no change E. 3: 4 decrease
- In the above figure PQR = 600, QPR= 900, PRS = 900, RPS = 450,QR= 8cm.Determine PS
- 2Ö3cm B. 4Ö6cm C. 2Ö6cm
- 8Ö6cm E. 8cm
- Given that cos z = L, where z is an acute angle find an expression for Co +Z – cosecz sec Z + tan z
- l – L B. L2-Ö1-L2 C. -L-Ö1-L

1+L L2+L-1 (C1+L) +Ö1-L2

- ÖL-1. E. L-(L2-1)

(L1+L2) +Ö1-L2 1+ Ö1 – L2+ Ö1 – L2

- If 0.0000152 x 0.00042 =Ax108,where 1 £A< 10, findAand B.
- A= 9, B= 6`.38 B. A= 6.38, B = -9 C. A= 6.38, B = 9
- A= 6.38, B = -1 E. A= 6.38, B= 1
- If x + 2 and x – 1 are factors of the expressions lx +

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

- l=-6,k=-9 B. l=-2,k= 1 C. l=-2,k=-1
- l=0,k= 1 E. l=6,k= 0
- Make T the subject of the equation

av = 3 2V + T

1- V a 2T

- 3av/(1-v) B. 2v(1-v)2 – a2v2/2a2v2 – (1-V)2
- 2v(1 – v)2 + a3v2/ 2a2v2 + (1 – v)2
- 2v(1 – v)2 – a4v3/2a3v3 – (1 – v)3
- 2v(1-v)3 – a4v3/2a3v3 + (1-v)3
- 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?

- 15
- 10
- 18
- 12
- 28

13 The value of (0.303)3 – (0.02)3 is

- 0.019 B. 0.0019 C. 0.00019
- 0.000019 E. 0.000035
- 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
- y = 10×2 + 52 B. y = x2 + 1

31 31Öx Öx

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

x 31 31Ö x 31( Öx)

- Simplify (x – 7) / (x2 – 9) ( x2 – 3x)/( x2 – 49)
- x/(x-3)(x+7) B. (x+3)(x+7)/x C. x/(x-3)(x –7)
- x/(x+3)(x+7) E. x/(x+4)(x+7)

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**8 Tips for Mathematics Olympiad Exam Preparation**

- Prioritize studying over leisure activities.
- Equip yourself with exam preparation materials, including books, dictionaries, and mock exams, alongside past questions.
- Enroll in extracurricular classes to reinforce understanding.
- Expect challenging questions that require critical thinking.
- Ensure sufficient sleep for memory consolidation.
- Maintain good health to sustain focus.
- Opt for light, nutritious meals during preparation.
- Limit social media usage to maximize study time.

Feel free to share these tips with friends and family. Questions or comments? Drop them below, and we’ll gladly assist you in achieving your academic goals.

*Related*

**Categories:**NMC olympiad, Round two

**Tags:**nmc, olympiad, past question