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% 3 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 Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.71 7.51 7.55 5.5 2 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the gradient of the line joining the points (3, 2) and (1, 4) 3/2 2/1 -1 3/2 3 / 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 3 1 4 / 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. 2 0 1 3 5 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the sum of the range and the mode of the set of numbers 10, 9, 10, 9, 8, 7, 7, 10, 8, 10, 8, 4, 6, 9, 10, 9, 7, 10, 6, 5 16 14 10 12 6 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find at which rate per annum simple interest N525 will amount to N588 in 3 years 4% 3% 5% 2% 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the x and y intercepts of the graph of 3x - z ≤≤ 9 (-3, -9) (3, -9) (-3, 0) (-3, 9) 8 / 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 = 5 nth = 6 nth = 4 nth = 3 9 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7. 25m 23m 22m 20m 10 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x + y = 90 simplify (sinx + siny)2−2sinx siny -1 0 2 1 11 / 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? N15,000 N44,000 N40,000 N36,000 12 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon 8 4 6 3 13 / 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} 21 225 20 15 14 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The pie chart shows the monthly expenditure of a public servant. The monthly expenditure on housing is twice that of school fees. How much does the worker spend on housing if his monthly income is N7200? 1000 2000 4000 3000 15 / 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 N257.42K N125.40K N132.50K N136.30K 16 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate 2.5% 3% 1.0% 5.40% 17 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its base π = 22/7 3.5cm 2.6cm 3.6cm 7.0cm 18 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given U = {xx is a positive integer less than 15} and P = {xx is even number from 1 to 14}. Find the compliment {2, 3, 5, 7, 11, 15} {1, 3, 5, 7, 9, 11, 13, 15} {1, 3, 5, 7, 9, 11, 13} {2, 3, 5, 7, 9, 11, 13} 19 / 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? 8 16 20 4 20 / 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 + 6π)cm (12 + 4π)cm (24 + 4π)cm 21 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the distance of the boat from the base of the tree. 52cm 15cm 40cm 43cm 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures Convert 0.04945 to two significant figures 0.050 0.49 0.049 23 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If a rod 10cm in length was measured as 10.5cm, calculate the percentage error 5% 10% 8% 7% 24 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If √ (2x + 2) − √x =1 ,find x. x = 3 or 1 x = 0 or 1 x = 1 twice x = 2 twice 25 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 14 13 12 15 26 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the simple interest on N325 in 5years at 3% per annum. N75.50K N48.75K N50.10K N15.75K 27 / 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 probability of selecting a student from the group that scored 2 or 3 5/22 1/11 7/22 6/11 28 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 5(2 + √3) 2(3 + √5) 3(2 + √5) 3 √2 + 1 29 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man sells his new brand car for N420,000 at a gain of 15%. What did it cost him? N257,000 N157,250 N365,217 N410,000 30 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point 2, ½ ½ , 2 0, 2 1, ½ 31 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B? 3/4 2/5 1/3 1/2 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of two numbers is 5; their product is 14. Find the numbers. x = 7 or − 2 x = 7 or 0 x = 7 or 1 x = 5 or 1 33 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If duty is levied at 25%, find the duty to be added to a bill of N80. N80 N20 N100 N150 34 / 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 12cm 10cm 10.5cm 5cm 35 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (0.09)2 and give your answer correct to 4 significant figures 0.081 0.81 0.0081 8.0001 36 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify √30 × √40 10 √3 5 √3 20 √3 15 √3 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the range of values of t which satisfies the inequality. 2t − 1 ≤≤ 3 and 2− t ≥≥ 5 -2≤t≤3 -3≤t≤4 -3≤t≤2 -3≤t≤1 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm 148cm square 1920cm square 592cm square 296cm square 39 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Divide the L.C.M of 48, 64 and 80 by their H.C.F 30 20 60 48 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room 15/17 12/17 9/17 8/15 41 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take π = 3.142 ) 50.3cm sqaure 17.4cm square 15.7cm sqaure 10.3cm square 42 / 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? 16 22 20 17 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that A = {3, 4, 1, 10, ⅓ } B = {4, 3 ⅓, ⅓, 7}. Find A∩B {⅓, 1, 2} {} {3, 4, ⅓} {1, 3, ⅓} 44 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A public car dealer marked up the cost of a car at 30% in an attempt to make 20% gross profit. Due to the value of dollar, he now placed 20% discount on the car. What profit or loss will he make? 3% 4% 1% 2% 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If Q is a factor of 18 and T is prime numbers between 2 and 18. What is Q∩∩T? (2,3,6) (2,3,9) (2,3,18) (2,3) 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From a point R, 300m north of P, a man walks eastward to a place Q which is 600m from P. Find the bearing of P from Q, correct to the nearest degree 026° 210° 045° 240° 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8!/2!2!2! 8!/2! 8! 8!/3!2! 48 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the required roots/region of x x ≤ -1, x ≥ 4 -1 ≤ x ≤ 4 x ≤ -1, o ≤ x ≤ 4 x ≤ 4 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find x if 132x = 70 eight. 1 3 5 6 50 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number. 148m 248m 282m 382m 51 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the loci of a distance 4cm from a given point P? perpendicular to point P at 4cm a circle of diameter 4cm A straight line of length 4cm a circle of radius 4cm 52 / 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. 11/20 1/10 2/10 9/20 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 4 √[(390695T− 8)½)] 1/T 2T 5/T T/5 54 / 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 3/28 3/24 2/15 3/21 55 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If log520 = x, find x 2.549 1.354 1.861 1.761 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the range of the following set of numbers 0.4, −0.4, 0.3, 0.47, −0.53, 0.2 and −0.2 0.07 1.0 0.03 1.03 57 / 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 16 15 20 18 58 / 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. 24cm 36cm 28cm 32cm 59 / 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? N12,000 N16,200 N14,200 N8,000 60 / 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, 5, 6, 7, 8, 9, 12, 15} {1, 2, 3, 5, 6, 8, 12, 15} {2, 4, 5, 9, 12, 15} {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15} Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback