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 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 2 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 3(2 + √5) 3 √2 + 1 2(3 + √5) 5(2 + √3) 3 / 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} 225 20 15 21 4 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If the mean of 4, y, 8 and 10 is 7. Find Y? 9 10 7 6 5 / 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 18 16 20 6 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class. What is the size of the angle of the sector in economics? 24 degree 39 degree 32 degree 36 degree 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (3√64a3)−1 1/4a 8a 1/8a 4a 8 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 55 degrees 230 degrees 115 degrees 65 degrees 9 / 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) 47.1cm square 27.2cm square 17.1cm square 37.3cm sqaure 10 / 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? 25 30 15 50 11 / 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 3 5 6 12 / 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 13 / 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 N1,640 N820 N676.50 14 / 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 1.0 0.03 1.03 0.07 15 / 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} 16 / 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 46 42 47 54 17 / 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 513.33cm 101.33cm 42.67cm 18 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the letters LEADER be arranged? 720 72 360 144 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If √ (2x + 2) − √x =1 ,find x. x = 2 twice x = 3 or 1 x = 0 or 1 x = 1 twice 20 / 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? 3000 4000 1000 2000 21 / 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 20 8 16 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, Find the value of < ROP 85 degrees 70 degrees 110 degrees 95 degrees 23 / 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 ₦ 4,900 ₦ 4,000 ₦ 4,700 ₦ 5,000 24 / 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 23m 20m 25m 25 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (0.09)2 and give your answer correct to 4 significant figures 0.81 0.081 8.0001 0.0081 26 / 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 32cm 28cm 36cm 27 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures 0.050 0.049 0.49 Convert 0.04945 to two significant figures 28 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H 24 2.4 4 10 29 / 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? 25% 32% 60% 20% 30 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find at which rate per annum simple interest N525 will amount to N588 in 3 years 4% 2% 3% 5% 31 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The base in which the operation was performed was 4 5 2 6 32 / 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 33 / 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? 720 litres 960 litres 160 litres 225 litres 34 / 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 3/8 5/16 5/8 35 / 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 36 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the simple interest on N325 in 5years at 3% per annum. N50.10K N48.75K N15.75K N75.50K 37 / 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 100 degrees 140 degrees 120 degrees 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find x if 132x = 70 eight. 5 1 3 6 39 / 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 = 2, y = – 1/2 x − 0, y = 1 x = 1, y = 1/2 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Solve x2 − 2x − 3 = 0 x = 3 or -1 x = 1 or 0 x = 1 or 2 x = 2 or 1 41 / 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. 6 5 7 8 42 / 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. 9πcm 2πcm 6πcm 3πcm 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If log520 = x, find x 1.761 2.549 1.354 1.861 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? 30 20 25 15 45 / 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 8/15 9/17 12/17 15/17 46 / 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 {1, 3, 5, 7, 9, 11, 13, 15} {1, 3, 5, 7, 9, 11, 13} {2, 3, 5, 7, 9, 11, 13} {2, 3, 5, 7, 11, 15} 47 / 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 48 / 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) 49 / 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 50 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8! 8!/2! 8!/2!2!2! 8!/3!2! 51 / 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 = 3 nth = 4 nth = 6 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MATHEMATICS be arranged? 11!/9!2!2 11!/9!2 ! 11!/2!2! 11!/2!2!2! 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the place value of 9 in the number 3.0492? 9/10000 9/10 9/1000 9/100 54 / 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) 55 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate 3% 1.0% 2.5% 5.40% 56 / 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 10 16 12 57 / 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 3/21 2/15 3/28 58 / 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 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x + y = 90 simplify (sinx + siny)2−2sinx siny -1 2 0 1 60 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.55 7.51 5.5 7.71 Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback