JAMB MATHEMATICS PAST QUESTIONS (UTME) HomeUTME/JAMB Past QuestionsJAMB MATHEMATICS PAST QUESTIONS (UTME) Practice MATHEMATICS UTME exam questions and answers Our experts have provided correct answers to these questions. 0% 1 JAMB MATHEMATICS PAST QUESTIONS Copy - JAMB MATHEMATICS PAST QUESTIONS Attempt 60 questions that will be selected from our question bank. You have 2 hours to answer all questions. These questions are drawn from different years of JAMB past questions You can retake the exams as many times as possible. Goodluck 1 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The amount A to which a principal P amounts at r% compound interest for n years is given by the formula A = P(1 + (r ÷ 100))n. Find A, if P = 126, r = 4 and n = 2 N125.40K N132.50K N257.42K N136.30K 2 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1. 33 40 36 32 3 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point 2, ½ 1, ½ ½ , 2 0, 2 4 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find x if 132x = 70 eight. 6 5 3 1 5 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If X, Y can take values from the set (1, 2, 3 ,4), find the probability that the product of X and Y is not greater than 6 1/2 5/8 3/8 5/16 6 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of two numbers is 5; their product is 14. Find the numbers. x = 5 or 1 x = 7 or − 2 x = 7 or 1 x = 7 or 0 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 14 15 12 13 8 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that Z = {1,2,4,5} what is the power of set Z? 8 10 12 16 9 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday and Sunday? 17 20 22 16 10 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 3 6 4 5 11 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc. 6πcm 2πcm 9πcm 3πcm 12 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The volume of a cone (s) of height 6cm and base radius 5cm is 157cm cube 175cm cube 145cm cube 155cm cube 13 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (3√64a3)−1 1/4a 8a 1/8a 4a 14 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A car dealer bought a second-hand car for of 250,000 and spent N 70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain? 20% 60% 32% 25% 15 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 4 √[(390695T− 8)½)] 5/T T/5 1/T 2T 16 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS One bag contain 3 blue and 5 red balls, another bag contain 2 blue and 4 red balls respectively. One ball is drawn for each bag. What is the probability both balls are blue 3/24 3/28 3/21 2/15 17 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 5x + 7y = 20 xy = 7 15x + 17y = 90 7x + 5y = 70 18 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects? 45 30 35 10 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In the figure, find x 60 degrees 40 degrees 50 degree 55 degrees 20 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The first and last term of a linear sequence (AP) are 6 and 10 respectively. If the sum of the sequence is 40. Find the number of terms nth = 6 nth = 3 nth = 5 nth = 4 21 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify √30 × √40 15 √3 20 √3 5 √3 10 √3 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 55 degrees 230 degrees 115 degrees 65 degrees 23 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the equation of the locus of a point p (x, y) such that pv = pw, where v= (1, 1) and w = (3, 5) 2x + y = 9 x + 2y = 8 2x + 3y = 8 2x + 2y = 9 24 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A number of pencils were shared out among Bisi, Sola and Tunde in the ratio of 2:3:5 respectively. If Bisi got 5, how many were shared out? 30 25 15 50 25 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the range of values of t which satisfies the inequality. 2t − 1 ≤≤ 3 and 2− t ≥≥ 5 -3≤t≤1 -3≤t≤2 -2≤t≤3 -3≤t≤4 26 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of an ellipse is 132cm2.The length of its major axis is 14cm.Find the length of it minor axis 10.5cm 10cm 12cm 5cm 27 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the cyclic quadrilateral above, find < TVS 60 degree 80 degree 50 degree 70 degree 28 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The extension of a stretched string is directly proportional to its tension. If the extension produced by a tension of 8 Newton’s is 2cm, find the extension produced by a tension of 12 newton’s. 0 2 1 3 29 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120°each 5 6 3 4 30 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm 592cm square 296cm square 1920cm square 148cm square 31 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is t 2 -2 -t 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If log520 = x, find x 2.549 1.761 1.861 1.354 33 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.51 5.5 7.71 7.55 34 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS An arc of the length 16ππcm subtends an angle of 80o at the centre of the circle. Find the radius of the circle. 32cm 36cm 28cm 24cm 35 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS n a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology? 54 70 20 42 36 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Factorize completely x2 + 12xy + y + 3x + 3y - 18 (x - y + 6)(x - y - 3) (x - y - 6)(x - y + 3) (x + y - 6)(x + y + 3) (x + y + 6)(x + y -3) 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS An arc of a circle of radius 14cm subtends angle 300° at the centre. Find the perimeter of the sector formed by the arc (take π = 22/7) 14.67cm 101.33cm 42.67cm 513.33cm 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If three staff of Myschool Limited agreed to share their salary arrears in the ration of their ages, which are 18 years, 20 years, 22 years respectively. If the sum of the money collected is N120,000.00K, How much does the second staff received? N36,000 N44,000 N15,000 N40,000 39 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o. (24 + 6 π)cm (12 + 4π)cm (24 + 4π)cm (12 + 6π)cm 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics? 4 16 20 8 41 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0 x − 0, y = 1 x = 2, y = –1 x = 2, y = – 1/2 x = 1, y = 1/2 42 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 5(2 + √3) 3(2 + √5) 2(3 + √5) 3 √2 + 1 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the gradient of the line joining the points (3, 2) and (1, 4) -1 3/2 2/1 3/2 44 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that A = {1, 5, 7} B = {3, 9, 12, 15} C = {2, 4, 6, 8} Find (A ∪ B) ∪ C {1, 2, 3, 5, 6, 8, 12, 15} {1, 5, 6, 7, 8, 9, 12, 15} {2, 4, 5, 9, 12, 15} {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15} 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A machine valued at N20,000 depreciates by 10% every year. What will be the value of the machine at the end of two years? N8,000 N12,000 N14,200 N16,200 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If duty is levied at 25%, find the duty to be added to a bill of N80. N100 N150 N80 N20 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The probabilities that John and James pass an examination are 3/4and 5/3 respectively. Find the probability of both boys failing the examination. 2/10 9/20 1/10 11/20 48 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The venn diagram shows a class of 50 students with the games they play. How many students play only two games 15 20 16 18 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w. 5 3 7 6 50 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the principal which amounts to ₦ 5,500 at a simple interest in 5 years at 2% per annum ₦ 4,000 ₦ 4,900 ₦ 4,700 ₦ 5,000 51 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MATHEMATICS be arranged? 11!/9!2 ! 11!/2!2!2! 11!/9!2!2 11!/2!2! 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y} 21 15 20 225 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If a rod 10cm in length was measured as 10.5cm, calculate the percentage error 10% 7% 5% 8% 54 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the required roots/region of x x ≤ -1, x ≥ 4 x ≤ -1, o ≤ x ≤ 4 x ≤ 4 -1 ≤ x ≤ 4 55 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The table shown gives the marks scored by a group of student in a test. Use the table to answer the question given. Mark 0 1 2 3 4 5 Frequency 1 2 7 5 4 3 What is the median mark? 4 2 1 3 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23. 10.2 11.2 11.3 10 57 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In the diagram MN, PQ and RS are parallel lines. What is the value of the angle marked X? 170 degrees 117 degrees 123 degrees 137 degrees 58 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If √ (2x + 2) − √x =1 ,find x. x = 1 twice x = 3 or 1 x = 2 twice x = 0 or 1 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given T = { even numbers from 1 to 12 } N = {common factors of 6, 8 and 12} Find T ∩ N {2, 3, 4} {3, 4, 6} {2, 3} {2} 60 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS y is inversely proportional to x and y and 6 when x = 7. Find the constant of the variation 47 42 54 46 Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback