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  A. 15 B. 20 C. 40 D. 75 10 If m∗n=(mn−nm ) for m, n belong to R, evaluate -3*4 A. −2512 B. −712 C. 712 D. 2512 11 The sum of two numbers is twice their difference. If the difference of the numbers is P, find the larger of the two numbers A. p/2 B. 3p/2 C. 5p/2 D. 3p 12 A binary operation * is defined by a*b = ab+a+b for any real number a and b. if the identity element is zero, find the inverse of 2 under this operation. A. 2/3 B. 1/2 C. -1/2 D. -2/3 13 Factorize completely x2+2xy+y2+3x+3y−1 8 . A. (x+y+6)(x+y-3) B. (x-y-6)(x-y+3) C. (x-y+6)(x-y-3) D. (x+y-6)(x+y+3) 14 Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X. A. 4≤X≤5 B. 5≤X≤8 C. 5≤X≤10 D. 8≤X≤10 15 Three consecutive positive integers k, l and m are such that l2 = 3(k+m). Find the value of m. A. 4 B. 5 C. 6 D. 7 16 Express 1x3−1 in partial fractions A. 13(1x−1−(x+2)x2+x+1) B. 13(1x−1−x−2x2+x+1) C. 13(1x−1−(x−2)x2+x+1) D. 13(1x−1−(x−1)x2−x−1) 17 The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8. A. 8/5 B. 8/3 C. 72/25 D. 56/9 18 Divide 4x3 – 3x + 1 by 2x – 1 A. 2x2-x+1 B. 2x2-x-1 C. 2x2+x+1 D. 2x2+x-1 19 Find a positive value of α if the coordinate of the centre of a circle x2 + y2 – 2αx + 4y – α = 0 is (α , -2) and the radius is 4 units. A. 1 B. 2 C. 3 D. 4 20 A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man’s head and the bird is 25m, what is the height of the tree? A. 26.7m B. 14.2m C. 1.7+(253√3m D. 1.7+(252√2m 21 In ∆MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP. A. 4.8 units B. 7.2 units C. 8.0 units D. 18.0 units 22 Find the tangent to the acute angle between the lines 2x + y = 3 and 3x – 2y = 5. A. -7/4 B. 7/8 C. 7/4 D. 7/2 23 From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR A. 120m B. 140m C. 150m D. 160m 24 Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5) A. 2x + 2y = 9 B. 2x + 3y = 8 C. 2x + y = 9 D. x + 2y = 8 25 Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2. A. 4 sq units B. 2 sq units C. 43squnits D. 13squnits 26 Evaluate: ∫z0(sinx−cosx)dxWhereletterz=π4.(π=pi) A. 2+1−−−−√ B. 2–√−1 C. −2–√−1 D. 1−2–√ 27 Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis. A. 81 π cubic units B. 36 π cubic units C. 18 π cubic units D. 9 π cubic units 28 What is the derivative of t2 sin (3t – 5) with respect to t? A. 6t cos (3t – 5) B. 2t sin (3t – 5) – 3t2 cos (3t – 5) C. 2t sin (3t – 5) + 3t2 cos (3t – 5) D. 2t sin (3t – 5) + t2 cos 3t 29 Evaluate ∫1−2(x−1)2dx A. −103 B. 7 C. 9 D. 11 30 Find the value of x for which the function y = x3 – x has a minimum value. A. −3–√ B. −33−−√ C. 33−−√ D. 3–√ 31 If the minimum value of y = 1 + hx – 3x2 is 13, find h. A. 13 B. 12 C. 11 D. 10 32 Let P = {1, 2, u, v, w, x}; Q = {2, 3, u, v, w, 5, 6, y} and R = {2, 3, 4, v, x, y}. Determine (P-Q) ∩ R A. {1, x} B. {x y} C. {x} D. 

. JAMB Mathematics Questions That Will Mostly Likely Come out 1 A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group? A. 25 B. 19 C. 18 D. 17 2 If log 10 to base 8 = X, evaluate log 5 to base 8 in terms of X. A. 12 X B. X-14 C. X-13 D. X-12 3 Find the value of X if 2√x+2√=1x−2√ A. 3√2+4 B. 3√2-4 C. 3-2√2 D. 4+2√2 4 If (a2b−3c)34a−1b4c5=apbqcr What is the value of p+2q? A. (5/2) B. -(5/4) C. -(25/4) D. -10 5 If {(a2b-3c)3/4/a-1b4c5} = apbqcr; what is the value of p+2q? A. (5/2) B. -(5/4) C. -(25/4) D. -10 6 A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at 4 for N1.50. Find the percentage gain or loss. A. 30% gain B. 25% gain C. 30% loss D. 25% loss 7 What is the answer when 24346 is divided by 426? A. 236 B. 356 C. 526 D. 556 8 If 29 x (Y3)9 = 35 x (Y3)5 , find the value of Y. A. 4 B. 3 C. 2 D. 1 9 Simplify (0.0023×750)(0.00345×1.25)−−−−−−−−−√

Note: all multiplication and division must start from your left.   BODMAS This is an old trick we used during our days to solve maths with out the help of anyone, so i will recommend this to you Explanation:   B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division Multiplication (start from left to right) AS → Addition and Subtraction (start from left to right)            🟥VERY VERY IMPORTANT 👂🧏 🟥     Note: Remember that your formula is your tool, so i will advise you to cram all your formula.       Before you start answering the jamb Mathematics questions make sure you read all the instructions and rules set by the board.    Once you enter the correct one, the question assigned to you will appear on the screen.      Once your Jamb mathematics question appear, I normally advise candidates to cross check the details that appear on the screen to confirm its their, else your might be answering someone else’s questions. Dont forget the simple rules which every smart candidate always applies in any exam. What’s the rule? ” start answering the questions you know first before coming back to try your hands on the one you don’t know”  .  🔺Jamb Mathematics Questions How many questions are we to answer?🔺 You are expected to answer nothing more than 50 jamb mathematics questions. You are not expected to go in with any scientific calculator as the board will provide one for you. Always remember that the time is ticking and you are expected to answer all the jamb questions before the system shutdown,in such a situation you have to allocate just 3 to 4 minutes on each mathematics question. Any question you don’t know just mark it down and quickly move over to the next ones you know.

*HERE ARE JAMB 2023 LIKELY MATHEMATICS QUESTIONS* Get ready 👇👇👇 1. Change 71base10 to base 8 A. 107 base 8 ✔️ B. 106 base 8 C. 71 base 8 D. 17 base 8 *SOLUTION* 8|71 8|8 REM 7 8|1 REM 0 8|0 REM 1 ANSWER = 107 base 8 (A) 2. If N225.00 yields N 27.00 in x years simple interest at the rate of 4% per annum , find X A. 3✔️ B. 4 C. 12 D. 17 *SOLUTION* Principal = N225.00 Interest = N 27.00 Year = X Rate = 4% S.I = PTR / 100 27 = 225 × 4 × X / 100 T (years) = 3yrs 3. Calculate the standard deviation of the following data : 7,8,9,10,11,12,13. A. 2✔️ B. 4 C. 10 D. 11 *SOLUTION* Firstly find X , hence X = ( £x / N ) Ex = 7+8+9+10+11+12+13 = 70 N = 7 .°. X = 70/7 = 10 x | x – x | (x – x )² 7| -3 | 9 8| -2 | 4 9| -1 | 1 10| 0 | 1 11| 1 | 1 12| 2 | 4 13| 3 | 9 S.D = ( √£(×-×)²/N ) Note square root applies for both numerator and denominator. = ( √£d²/N ) = √28/7 = √4 = 2 (A) 4. If y = 3t³ + 2t² – 7t + 3 , find dy/dt at t = -1 A. -1 B. 1 C. -2 ✔️ D. 2 *SOLUTION* dy/dt = 9t² + 4t – 7 When t = -1 dy/dt = 9(-1)² + 4(-1) – 7 = 9 – 4 – 7 = -2 (C) 5. A man wishes to keep some money in a savings deposit at 25% compound interest so that after 3 years he can buy a car of N150,000 . How much does he need to deposit now ? A. N76800.00✔️ B. N85714.28 C. N96000.00 D. N112000.50 *SOLUTION* A =N150,000 r = 25% n = 3 Remember A = P(1 + r/100)^n 150,000 = P ( 1 + 0.25 ) ³ 150,000 = P (1.25)³ P = 150,000 / 1.25³ = N76800.00(A) 6. A trader bought goats for N4000 each. He sold them for N180,000 at a loss of 25%. How many goats did he buy ? A. 50 B. 60✔️ C. 36 D. 45 *SOLUTION* Loss % = (c.p – s.p)/c.p × 100% 25 = (c.p – 180,000)/c.p × 100 25 = 100(c.p – 180,000)/c.p 25 = 100cp – 18,000,000 / cp Cross multiply 25cp = 100cp –18,000,000 18,000,000 = 100cp – 25cp 18,000,000 = 75cp C.P = N240,000 Number of goats = 240,000 / 4000 = 60 (B) 7. The range of the data K+2 , k-3 , k+4 , k-2, k-5 , k+3 , k-1 and k+6 is A. 11✔️ B. 10 C. 8 D. 6 *SOLUTION* RANGE = highest – lowest ( K + 6 ) – ( K – 5 ) K + 6 – k + 5 = 11 (A) 8. What is the area between two concentric circles of diameters 26cm and 20cm ? A. 100π B. 169π C. 69π✔️ D. 9π E. 269π *SOLUTION* Area between two concentric circles is πR² – πr² =π(13² – 10²) = 69π (C) 9. Find the sum to infinity of the following series 3 + 2 + 4/3 + 8/9 + 16/27 + ____ A. 1270 B. 190 C. 18 D. 9✔️ *SOLUTION* 3 + 2 + 4/3 + 8/9 + 16/27 a = 3 , r = 2/3 , S∞ = a / 1 – r = 3/1-2/3 = 9(D) _EXAMSUCCESS 09042001981_ 10. The derivative of cosec x is A. tan x cosec x B. – cot x cosec x✔️ C. tan x sec x D. – cot x sec x 11. If y = ( 1 + x )² , find dy/dx A. -1 B. 2 + 2x✔️ C. 1 + 2x D. 2x – 1 *SOLUTION* If y = ( 1 + x )² dy/dx = 2( 1 + x ) = 2 + 2x (B) 12. At what rate will the interest on N400 increase to N24 in 3years reckoning in simple interest? A. 3% B. 2%✔️ C. 5% D. 4% *SOLUTION* S.I = PTR / 100 where P denotes principal = N400 T denotes time = 3years R denotes Rate = ? 24 = 400×3×R / 100 24×100 = 400×3×R R = 2% (B) 13. If x*y = x + y² , find the value of ( 2*3 )*5 A. 25 B. 11 C. 55 D. 36✔️ *SOLUTION* (2*3)*5 = (2+3²)*5 = (2+9)*5 = 11*5 Hence 11*5 = 11+5² = 11+25 = 36(D) 14. Simplify ( √6 + 2 )² ( √6 – 2 )² A. 2√6 B. 4√6 C. 8√6✔️ D. 16√6 *SOLUTION* ( √6 + 2 )² (√6 – 2 )² (√6 + 2 + √6 – 2)(√6 + 2 -√6 + 2) (2√6 ) (4) = 8√6 (C) XamGod SolutioN Team

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