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% 2 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 questionsYou can retake the exams as many times as possible.Goodluck 1 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find at which rate per annum simple interest N525 will amount to N588 in 3 years 4% 5% 3% 2% 2 / 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 1.03 0.07 1.0 0.03 3 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the required roots/region of x x ≤ 4 x ≤ -1, o ≤ x ≤ 4 -1 ≤ x ≤ 4 x ≤ -1, x ≥ 4 4 / 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 5 / 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 9/17 8/15 15/17 12/17 6 / 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 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify √30 × √40 15 √3 5 √3 20 √3 10 √3 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 = 3 nth = 4 9 / 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? 17 16 22 20 10 / 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.Mark012345Frequency127543What is the probability of selecting a student from the group that scored 2 or 3 5/22 1/11 7/22 6/11 11 / 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) 12 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 13 15 12 14 13 / 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. 23m 25m 22m 20m 14 / 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 3/21 3/24 2/15 3/28 15 / 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 5/16 1/2 3/8 5/8 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% 1.0% 3% 5.40% 17 / 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? 3 4 6 5 18 / 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 N676.50 N4,920 N820 19 / 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} {1, 3, ⅓} {3, 4, ⅓} 20 / 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 21 / 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% 2% 4% 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that Z = {1,2,4,5} what is the power of set Z? 10 16 12 8 23 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the letters LEADER be arranged? 72 144 720 360 24 / 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) 2x + 2y = 9 2x + y = 9 x + 2y = 8 2x + 3y = 8 25 / 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 N36,000 N44,000 N40,000 26 / 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 32 degree 39 degree 36 degree 27 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the loci of a distance 4cm from a given point P? A straight line of length 4cm a circle of diameter 4cm a circle of radius 4cm perpendicular to point P at 4cm 28 / 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? 117 degrees 123 degrees 170 degrees 137 degrees 29 / 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, 15} {1, 3, 5, 7, 9, 11, 13} 30 / 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 ₦ 5,000 ₦ 4,900 ₦ 4,000 ₦ 4,700 31 / 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 47.1cm square 17.1cm square 27.2cm square 32 / 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 ₦ 35, 000 ₦ 20,000 ₦ 40,000 33 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the simple interest on N325 in 5years at 3% per annum. N75.50K N50.10K N15.75K N48.75K 34 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The curved surface area of a cylinder 5cm high is 110cm2. Find the radius of its baseπ = 22/7 2.6cm 3.6cm 7.0cm 3.5cm 35 / 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 4 3 6 8 36 / 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 720 litres 960 litres 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MATHEMATICS be arranged? 11!/2!2! 11!/2!2!2! 11!/9!2 ! 11!/9!2!2 38 / 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 140 degrees 100 degrees 10 degrees 120 degrees 39 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Divide the L.C.M of 48, 64 and 80 by their H.C.F 20 30 48 60 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In the figure, find x 55 degrees 60 degrees 40 degrees 50 degree 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. 8 5 6 7 42 / 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? 42 20 54 70 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 2(3 + √5) 3 √2 + 1 5(2 + √3) 3(2 + √5) 44 / 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 20 15 18 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8!/3!2! 8!/2! 8! 8!/2!2!2! 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H 4 2.4 10 24 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1. 32 40 33 36 48 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 xy = 7 7x + 5y = 70 15x + 17y = 90 5x + 7y = 20 49 / 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 N136.30K N257.42K 50 / 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? 10 30 35 45 51 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take π = 3.142 ) 15.7cm sqaure 10.3cm square 17.4cm square 50.3cm sqaure 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the place value of 9 in the number 3.0492? 9/10 9/1000 9/100 9/10000 53 / 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) 54 / 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 101.33cm 42.67cm 513.33cm 55 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 65 degrees 230 degrees 55 degrees 115 degrees 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 3 6 4 5 57 / 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 11/20 1/10 58 / 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 N8,000 N14,200 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures Convert 0.04945 to two significant figures 0.049 0.49 0.050 60 / 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 = 1, y = 1/2 x = 2, y = – 1/2 x − 0, y = 1 Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback Share this post: Share on X (Twitter) Share on Facebook Share on LinkedIn Share on Email Share on WhatsApp
