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 What is the loci of a distance 4cm from a given point P? a circle of radius 4cm a circle of diameter 4cm perpendicular to point P at 4cm A straight line of length 4cm 2 / 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 140 degrees 100 degrees 120 degrees 3 / 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? 1% 3% 2% 4% 4 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find at which rate per annum simple interest N525 will amount to N588 in 3 years 3% 2% 4% 5% 5 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A car uses one litre of petrol for every 14km. If one litre of petrol cost N63.00, how far can the car go with N900.00 worth of petrol? 405Km 210Km 200Km 420Km 6 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If a rod 10cm in length was measured as 10.5cm, calculate the percentage error 8% 10% 5% 7% 7 / 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) 8 / 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 9 / 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. N1,640 N820 N676.50 N4,920 10 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w. 7 3 6 5 11 / 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 148m 282m 248m 12 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point 0, 2 2, ½ 1, ½ ½ , 2 13 / 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 1/3 3/4 14 / 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 4 3 2 15 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man bought a car for N800 and sold it for N520. Find his loss per cent 35% 10% 15% 25% 16 / 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 123 degrees 117 degrees 137 degrees 17 / 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 35 30 10 18 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 3(2 + √5) 2(3 + √5) 3 √2 + 1 5(2 + √3) 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If √ (2x + 2) − √x =1 ,find x. x = 2 twice x = 1 twice x = 0 or 1 x = 3 or 1 20 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the cyclic quadrilateral above, find < TVS 80 degree 50 degree 70 degree 60 degree 21 / 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 N40,000 N36,000 N44,000 22 / 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 20 70 42 23 / 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 5cm 10.5cm 24 / 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) 17.1cm square 47.1cm square 27.2cm square 37.3cm sqaure 25 / 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 12 10 16 14 26 / 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 14.67cm 513.33cm 42.67cm 27 / 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? (2,3,9) (2,3) (2,3,6) (2,3,18) 28 / 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 29 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0 x = 2, y = –1 x − 0, y = 1 x = 2, y = – 1/2 x = 1, y = 1/2 30 / 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 = 5 or 1 x = 7 or 0 x = 7 or 1 31 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 115 degrees 230 degrees 65 degrees 55 degrees 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take π = 3.142 ) 50.3cm sqaure 10.3cm square 17.4cm square 15.7cm sqaure 33 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the gradient of the line joining the points (3, 2) and (1, 4) 2/1 3/2 -1 3/2 34 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the x and y intercepts of the graph of 3x - z ≤≤ 9 (3, -9) (-3, 0) (-3, 9) (-3, -9) 35 / 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 1.03 1.0 0.03 36 / 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. N828.00 N720.00 N684.00 N756.00 37 / 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} {2} {3, 4, 6} 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H 4 10 24 2.4 39 / 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 xy = 7 15x + 17y = 90 5x + 7y = 20 40 / 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? 22 17 16 20 41 / 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≤1 -3≤t≤2 42 / 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 ₦ 40,000 ₦ 20,000 ₦ 35, 000 ₦ 25,000 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of the interior angles of a polygon is a given as 1080o. Find the number of the sides of the polygon. 5 7 6 8 44 / 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? 15 25 30 20 45 / 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 N136.30K N132.50K N125.40K 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.55 7.71 7.51 5.5 47 / 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 2.6cm 3.5cm 7.0cm 3.6cm 48 / 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 = 5 nth = 3 nth = 4 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Divide the L.C.M of 48, 64 and 80 by their H.C.F 30 48 60 20 50 / 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 51 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 5 3 4 6 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (3√64a3)−1 1/4a 1/8a 8a 4a 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Solve x2 − 2x − 3 = 0 x = 3 or -1 x = 1 or 2 x = 1 or 0 x = 2 or 1 54 / 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? 16 8 4 20 55 / 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. 3πcm 2πcm 9πcm 6πcm 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The base in which the operation was performed was 4 6 2 5 57 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8!/2!2!2! 8!/3!2! 8! 8!/2! 58 / 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 1 0 3 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120°each 5 3 6 4 60 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o. (12 + 6π)cm (12 + 4π)cm (24 + 6 π)cm (24 + 4π)cm Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback