40 MATHEMATICS RANDOM TOPICS PRACTICE QUESTION

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ANSMYQUES BLOG

Which of the following is not a formula used in calculating gradient of a line. A tanθ B. dydx C. ΔyΔx D. y-y1x- x1

Find the intersecting point between the two equations of line 3x – 4y = 1 and x + 2y = 2 A. (13,1) B. (1, 13) C. (12 , 1) D. (1, 12 )

Simplify 2144 ÷ 18 of 223 A. 234 B. 112 C. 316 D. 18

Find the value of x if 22x + 3(2x) – 10 = 0 A. 1 B. -1 C. 0 D. -2

Convert 521ten to a number in base 5 A. 14045 B. 41405 C. 40415 D. 40145

Find the value of t if 3t4 + 21-t3 = 11 A. 913 B. 935 C. 5 D. 139

In a class of 5boys and 4girls, a committee of 6students is to be formed in how many ways can this be done if at least 3boys must be selected A. 80 B. 74 C. 90 D. 60

If f(x) = 2x2- x3+3x-5, find the value of f(2x - 2) A. -1 B. 1 C. 2 D. 20

Find the trace of the of A-1 if A= 2-31-1 A. 34 B. 1 C. 43 D. 214

Evaluate 2A2+5A-13If A = 3120 A. 226124 B. 241122-9 C. 3711224 D. None

Evaluate: sinxcosxcosx-sinx A. cos2x B. 1 C. sin2x D. sin2x – cos2x

Find the nth term of the sequence 4, 8, 16, ….. A. 2n B. 2n+1 C. 2n-1 D. 4n

A man invests a sum of money at 4% per annum simple interest. After 3 years, the principal amount to #7,000. Find the sum invested. A. #7,840 B. #6,250 C. #6,160 D. #5,833

King deposited #800 in the bank at the rate of 12 12% simple interest .after some time the total amount is was one and half times the principal . For how many years was the money left in the bank? A. 2 23 B. 4 C. 8 D. 5 13
x12x= 31-12 the value of x+1 is A. 1 B. 2 C. 3 D. 4

At what interest must N20,000 be invested in 5years so as to amount to N25,000? (a) 25% (b) 20% (c) 10% (d) 5%

A man drove for 4 hours at a certain speed, he then double his speed and drove for another 3 hours. Altogether he covered 600 kilometers, at what speed did he drive for the last 3 hours? A. 120 km/hr B. 60 km/hr C. 600/7 km/hr D. 50 km/hr E. 100 km/hr

Find the gradient of a line which is perpendicular to the line that passes through A(-1, P) and Q(P + 1, 2) (a) 2-PP+2 (b) P+2P-2 (c) P-2P+2 (d) P+22-P

Evaluate limx→2⁡x3-x+1x-2 A. 0 B. ∞ C. 11 D. 13

If sin Ѳ = 3/5, where Ѳ is an obtuse angle. Find cos Ѳ + tan Ѳ (a) 111/20 (b) 17/10 (c) -111/20 (d) -17/10

If tan x = 3, find tan 2x (a) 3/2 (b) -3/2 (c) 6 (d) –¾

A man got a new job with starting monthly salary of #100,000 and was promised a monthly increment of # 1, 000. After second year of service, his monthly increment is raised to #2, 500. What will be his salary at the end of third year of service? A. #150,000 B. #153,000 C. # 162, 000 D. 143,000

At what rate should a certain amount of money be investigated in 10 years in order in order to yield twice the amount as the interest? A. 10% B. 15% c. 20% D. 25%

If 3x+1 = 6, the value of x is A. log3⁡2 B. log2⁡3 C. 1 – log3⁡2 D. 1 – log2⁡3

-2211131x-1 = 16, find the value of x + 1 A. 1 B. 2 C. 3 D. 4

Given that sinx= 35 and tany = 125, evaluate sin(x+y) + tanx -1. A. 189260 B. 6365 C. 187260 D. 181260

If the operation * is defined as a*b = a+2b-ab find 23*32 A. 223 B. 2 C. -13 D. 23

A point X is on bearing of 342o from a point Y. what is the bearing of Y from X? A. E73oS B. S73oE C. S18oE D. N162oS

The sum of the first nth term of a sequence is given by Sn = n2, the nth term of the sequence is__ A. 2n -1 B. 2n+1 C. 1-2n D. 2n+3

Convert A6B to a duodecimal number A. 1664 B. 16Λ4 C. X46Λ D. 6416

If k +1, 2k – 1, 3k + 1 are three consecutive terms of a geometric progression, find the possible values of the common ratio A. 0,8 B. 1,5/3 C. 2/3 D. 1,1

A market woman sell oil in cylindrical tins 10cm deep and 6cm in diameter at 15.00 each. If she bought a full cylinder jug 18cm deep and 10cm in diameter for 50.00, how much did she make by selling all the oil? A. 62.50 B. 35.00 C. 31.00 D. 25.00

A car dealer bought a second – hand car for 250.000.00 and spent 70 000.00 refurbishing it. He then sold the car for 400 000.00. what is the percentage gain? A. 20% B. 25% C. 32% D. 60%

A man wishes to keep some money in a saving deposit at 25% compound interest so that after 3 years he can buy a car for 150 000. How much does he need to deposit now? A. 112 000.50 B. 96 000.00 C. 85 714.28 D. 76 800.00

A man invested a sum of 280.00 partly at 5% and partly at 4%. If the total interest is 12.80 per annum, find the amount invested at 5% A. 14.00 B. 120.00 C. 140.00 D. 160.00

Musa borrows 10,00 at 2% per month simple interest and repays 8.00 after 4 months. How much does he still owe? A. 10.80 B. 10.67 C. 2.80 D. 2.67

P sold his bicycle to Q at a profit of 10%. Q sold it to R for 209 at a loss of 5%. How much did the bicycle cost P? A. 200 B. 196 C. 180 D. 205 E. 150

Evaluate limx→π⁡x1-cos⁡x A. π22 B. 0 C. ∞ D. π

Obtain limx→0⁡tan⁡2x 4sin⁡xcos⁡x A. 0 B. ∞ C. 12 D. 14

Evaluate limx→2⁡x2-1x+1 A. 0 B. 3 C. 2 D. 1

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