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 How many times, correct to the nearest whole number, will a man run round a circular track of diameter 100m to cover a distance of 1000m? 4 5 3 6 2 / 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? 3 1 2 4 3 / 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 8/15 12/17 9/17 4 / 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 720 litres 960 litres 160 litres 5 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The base in which the operation was performed was 4 2 6 5 6 / 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 14 16 10 12 7 / 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% 1% 4% 2% 8 / 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) x + 2y = 8 2x + y = 9 2x + 3y = 8 2x + 2y = 9 9 / 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 1/10 11/20 9/20 10 / 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 = 4 nth = 6 nth = 3 nth = 5 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? N36,000 N40,000 N15,000 N44,000 12 / 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. 2πcm 6πcm 9πcm 3πcm 13 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find at which rate per annum simple interest N525 will amount to N588 in 3 years 5% 2% 3% 4% 14 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.71 7.55 5.5 7.51 15 / 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. 7 6 8 5 16 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o. (12 + 6π)cm (24 + 6 π)cm (12 + 4π)cm (24 + 4π)cm 17 / 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? 210Km 200Km 405Km 420Km 18 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 4 √[(390695T− 8)½)] T/5 2T 5/T 1/T 19 / 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 54 46 42 47 20 / 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. 282m 148m 382m 248m 21 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that Z = {1,2,4,5} what is the power of set Z? 12 10 16 8 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Age in years 7 8 9 10 11 No of pupils 4 13 30 44 9 The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is 56.3° 46.8° 48.6° 13° 23 / 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 210° 026° 045° 240° 24 / 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 3.6cm 2.6cm 7.0cm 25 / 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 26 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take π = 3.142 ) 17.4cm square 10.3cm square 50.3cm sqaure 15.7cm sqaure 27 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the letters LEADER be arranged? 144 72 360 720 28 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (3√64a3)−1 4a 8a 1/4a 1/8a 29 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of two numbers is 5; their product is 14. Find the numbers. x = 7 or 1 x = 7 or − 2 x = 5 or 1 x = 7 or 0 30 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the place value of 9 in the number 3.0492? 9/1000 9/10000 9/100 9/10 31 / 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 N720.00 N684.00 N828.00 32 / 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 2, ½ ½ , 2 33 / 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 3 0 34 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures 0.49 Convert 0.04945 to two significant figures 0.050 0.049 35 / 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 straight line of length 4cm perpendicular to point P at 4cm a circle of diameter 4cm 36 / 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 5x + 7y = 20 15x + 17y = 90 37 / 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) 38 / 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 6 8 4 3 39 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 115 degrees 55 degrees 230 degrees 65 degrees 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0 x = 2, y = – 1/2 x = 1, y = 1/2 x = 2, y = –1 x − 0, y = 1 41 / 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 37.3cm sqaure 27.2cm square 42 / 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} {1, 3, 5, 7, 9, 11, 13, 15} {2, 3, 5, 7, 9, 11, 13} 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If line p = 5x + 3 is parallel to line p = wx + 5. Find the value of w. 6 3 7 5 44 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1. 36 33 40 32 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If the mean of 4, y, 8 and 10 is 7. Find Y? 6 10 7 9 46 / 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) (2,3,18) (2,3) (2,3,6) 47 / 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% 5.40% 1.0% 48 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 6 3 4 5 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In the figure, find x 40 degrees 55 degrees 50 degree 60 degrees 50 / 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) 51 / 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 54 70 42 52 / 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 N136.30K N132.50K N125.40K N257.42K 53 / 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. 22m 25m 23m 20m 54 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If √ (2x + 2) − √x =1 ,find x. x = 0 or 1 x = 3 or 1 x = 1 twice x = 2 twice 55 / 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 0.07 1.0 1.03 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the simple interest on N325 in 5years at 3% per annum. N15.75K N50.10K N75.50K N48.75K 57 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120°each 3 5 4 6 58 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the required roots/region of x x ≤ 4 -1 ≤ x ≤ 4 x ≤ -1, x ≥ 4 x ≤ -1, o ≤ x ≤ 4 59 / 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? 15 25 30 50 60 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 13 12 14 15 Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback