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 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 1/11 6/11 7/22 5/22 2 / 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) 3 / 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? the same half as much three times as much twice as much 4 / 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 + 3y = 8 x + 2y = 8 2x + 2y = 9 2x + y = 9 5 / 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. N720.00 N684.00 N828.00 N756.00 6 / 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 ₦ 4,700 ₦ 4,900 ₦ 4,000 ₦ 5,000 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 6 4 5 3 8 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 2.04 × 3.7 (Leave your answer in 2 decimal place) 7.71 7.51 5.5 7.55 9 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm 1920cm square 592cm square 296cm square 148cm square 10 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of two numbers is 5; their product is 14. Find the numbers. x = 5 or 1 x = 7 or − 2 x = 7 or 1 x = 7 or 0 11 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the cyclic quadrilateral above, find < TVS 60 degree 80 degree 50 degree 70 degree 12 / 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} 13 / 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% 4% 2% 14 / 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 50 30 15 15 / 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 4 2 1 16 / 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 48.6° 46.8° 13° 56.3° 17 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the value of x and y if (27x ÷ 81x+2y = 9 ,x + 4y = 0 x = 1, y = 1/2 x = 2, y = – 1/2 x = 2, y = –1 x − 0, y = 1 18 / 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 16 10 14 12 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1. 33 36 40 32 20 / 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 21 / 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, 9, 11, 13} {1, 3, 5, 7, 9, 11, 13, 15} {1, 3, 5, 7, 9, 11, 13} {2, 3, 5, 7, 11, 15} 22 / 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) (2,3,9) (2,3,18) 23 / 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 24 / 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 42 54 70 25 / 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 26 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (0.09)2 and give your answer correct to 4 significant figures 0.81 8.0001 0.0081 0.081 27 / 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 12/17 15/17 9/17 28 / 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 5cm 10.5cm 10cm 29 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures 0.49 0.049 Convert 0.04945 to two significant figures 0.050 30 / 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 10 45 35 31 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The base in which the operation was performed was 4 6 5 2 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the place value of 9 in the number 3.0492? 9/10000 9/10 9/100 9/1000 33 / 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? 200Km 210Km 420Km 405Km 34 / 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? 32 degree 39 degree 36 degree 24 degree 35 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120°each 3 4 5 6 36 / 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% 1.0% 5.40% 37 / 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? N16,200 N12,000 N14,200 N8,000 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 4 √[(390695T− 8)½)] T/5 2T 5/T 1/T 39 / 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 3 1 0 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8! 8!/3!2! 8!/2!2!2! 8!/2! 41 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If log520 = x, find x 1.354 1.861 1.761 2.549 42 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find x if 132x = 70 eight. 3 5 1 6 43 / 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% 44 / 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 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the letters LEADER be arranged? 360 144 72 720 46 / 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 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If duty is levied at 25%, find the duty to be added to a bill of N80. N150 N100 N20 N80 48 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is -t -2 t 2 49 / 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 50 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23. 10.2 10 11.2 11.3 51 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 2(3 + √5) 3(2 + √5) 3 √2 + 1 5(2 + √3) 52 / 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) 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify √30 × √40 20 √3 5 √3 10 √3 15 √3 54 / 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. 43cm 40cm 15cm 52cm 55 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man bought a car for N800 and sold it for N520. Find his loss per cent 10% 25% 15% 35% 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 15 13 12 14 57 / 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 = 4 nth = 3 nth = 6 58 / 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 137 degrees 123 degrees 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The volume of a cone (s) of height 6cm and base radius 5cm is 145cm cube 155cm cube 175cm cube 157cm cube 60 / 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 {2, 4, 5, 9, 12, 15} {1, 2, 3, 5, 6, 8, 12, 15} {1, 5, 6, 7, 8, 9, 12, 15} {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15} Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback