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 If a car travels 120km on 45 litres of petrol, how much petrol is needed for a journey of 600km? 225 litres 160 litres 960 litres 720 litres 2 / 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? N410,000 N257,000 N365,217 N157,250 3 / 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? 20 70 54 42 4 / 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≤1 -3≤t≤4 -3≤t≤2 5 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Solve x2 − 2x − 3 = 0 x = 3 or -1 x = 2 or 1 x = 1 or 2 x = 1 or 0 6 / 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? 1 2 4 3 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man with an annual salary of N2000, has allowances of N600. If Income Tax is 5%. How much tax does he pay each year? 30 25 15 20 8 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer ₦ 25,000 ₦ 40,000 ₦ 35, 000 ₦ 20,000 9 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If √ (2x + 2) − √x =1 ,find x. x = 0 or 1 x = 3 or 1 x = 2 twice x = 1 twice 10 / 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. 382m 282m 248m 148m 11 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x + y = 90 simplify (sinx + siny)2−2sinx siny 1 2 -1 0 12 / 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% 13 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 13 14 12 15 14 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the required roots/region of x -1 ≤ x ≤ 4 x ≤ 4 x ≤ -1, x ≥ 4 x ≤ -1, o ≤ x ≤ 4 15 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the cyclic quadrilateral above, find < TVS 60 degree 70 degree 50 degree 80 degree 16 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.51 7.71 7.55 5.5 17 / 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 43cm 15cm 40cm 18 / 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} {2, 3, 4} {3, 4, 6} {2} 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that A = {3, 4, 1, 10, ⅓ } B = {4, 3 ⅓, ⅓, 7}. Find A∩B {3, 4, ⅓} {1, 3, ⅓} {} {⅓, 1, 2} 20 / 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% 32% 60% 25% 21 / 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 0.03 1.03 0.07 1.0 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures 0.049 0.49 0.050 Convert 0.04945 to two significant figures 23 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60o 10 degrees 120 degrees 140 degrees 100 degrees 24 / 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) 101.33cm 42.67cm 513.33cm 14.67cm 25 / 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 26 / 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 27 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If the simple interest on a sum of money invested at 3% per annum for 2 and half years is N123, find the principal. N4,920 N676.50 N820 N1,640 28 / 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 2/10 9/20 1/10 29 / 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 (24 + 4π)cm (12 + 4π)cm 30 / 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? 2/5 1/2 3/4 1/3 31 / 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 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find x if 132x = 70 eight. 3 6 1 5 33 / 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 3πcm 9πcm 34 / 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? (2,3,18) (2,3,6) (2,3) (2,3,9) 35 / 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 36 / 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? N40,000 N15,000 N44,000 N36,000 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 7x + 5y = 70 5x + 7y = 20 xy = 7 15x + 17y = 90 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The volume of a cone (s) of height 6cm and base radius 5cm is 155cm cube 145cm cube 175cm cube 157cm cube 39 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the x and y intercepts of the graph of 3x - z ≤≤ 9 (-3, 9) (-3, -9) (3, -9) (-3, 0) 40 / 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} {2, 3, 5, 7, 9, 11, 13} {1, 3, 5, 7, 9, 11, 13} {1, 3, 5, 7, 9, 11, 13, 15} 41 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Two sisters, Taiwo and Kehinde, own a store. The ratio of Taiwo's share to Kehinde's is 11:9. Later Kehinde sells 2/3 of her share to Taiwo for N720.00. Find the value of the store N 2,400.00 N1,080.00 N 3,600.00 N 3,000.00 42 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point 1, ½ 0, 2 ½ , 2 2, ½ 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 230 degrees 65 degrees 115 degrees 55 degrees 44 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In the figure, find x 50 degree 60 degrees 55 degrees 40 degrees 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man bought a car for N800 and sold it for N520. Find his loss per cent 15% 35% 10% 25% 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man's initial salary is N540.00 a month and increases after each period of six months by N36.00 a month. Find his salary in the eight month of the third year. N756.00 N684.00 N720.00 N828.00 47 / 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? 2% 4% 3% 1% 48 / 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? 30 45 10 35 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 4 √[(390695T− 8)½)] T/5 2T 5/T 1/T 50 / 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, 4, 5, 6, 7, 8, 9, 12, 15} {2, 4, 5, 9, 12, 15} {1, 2, 3, 5, 6, 8, 12, 15} 51 / 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) 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the area of the curved surface of a cone whose base radius is 3cm and whose height is 4cm (π = 3.14) 37.3cm sqaure 27.2cm square 17.1cm square 47.1cm square 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that Z = {1,2,4,5} what is the power of set Z? 10 16 8 12 54 / 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 N132.50K N125.40K N257.42K N136.30K 55 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (0.09)2 and give your answer correct to 4 significant figures 0.0081 0.81 0.081 8.0001 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was? twice as much three times as much half as much the same 57 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 5 4 6 3 58 / 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 3 4 8 6 59 / 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 5/16 5/8 3/8 60 / 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. 20m 23m 22m 25m Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback