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 questionsYou can retake the exams as many times as possible.Goodluck 1 / 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? 137 degrees 123 degrees 117 degrees 170 degrees 2 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8!/2!2!2! 8!/2! 8!/3!2! 8! 3 / 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? 60% 20% 32% 25% 4 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Solve x2 − 2x − 3 = 0 x = 1 or 2 x = 2 or 1 x = 3 or -1 x = 1 or 0 5 / 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} 6 / 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 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? 2% 3% 4% 1% 8 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm 592cm square 296cm square 1920cm square 148cm square 9 / 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 1.0 0.03 1.03 10 / 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 11 / 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 = 3 nth = 6 nth = 4 nth = 5 12 / 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) 27.2cm square 47.1cm square 37.3cm sqaure 17.1cm square 13 / 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 ½ , 2 2, ½ 14 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The volume of a cone (s) of height 6cm and base radius 5cm is 175cm cube 155cm cube 157cm cube 145cm cube 15 / 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? 20 8 16 4 16 / 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 ₦ 35, 000 ₦ 40,000 ₦ 20,000 ₦ 25,000 17 / 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 18 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find at which rate per annum simple interest N525 will amount to N588 in 3 years 4% 3% 5% 2% 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MATHEMATICS be arranged? 11!/9!2 ! 11!/9!2!2 11!/2!2!2! 11!/2!2! 20 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Divide the L.C.M of 48, 64 and 80 by their H.C.F 20 48 30 60 21 / 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 14 10 12 22 / 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 23 / 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? 20 25 15 30 24 / 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% 25 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (3√64a3)−1 1/4a 4a 8a 1/8a 26 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Age in years7891011No of pupils41330449The 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 13° 56.3° 48.6° 46.8° 27 / 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 28 / 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) (2,3,6) (2,3,18) (2,3) 29 / 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 {1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15} {1, 2, 3, 5, 6, 8, 12, 15} {2, 4, 5, 9, 12, 15} {1, 5, 6, 7, 8, 9, 12, 15} 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 ₦ 4,700 ₦ 4,000 ₦ 5,000 ₦ 4,900 31 / 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? N365,217 N410,000 N157,250 N257,000 32 / 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 N132.50K N125.40K N136.30K 33 / 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} {2, 3, 4} {3, 4, 6} {2, 3} 34 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is -t -2 2 t 35 / 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 8 6 36 / 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 N8,000 N14,200 N16,200 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the place value of 9 in the number 3.0492? 9/100 9/10 9/10000 9/1000 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 230 degrees 65 degrees 55 degrees 115 degrees 39 / 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 28cm 36cm 24cm 40 / 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. 20m 22m 25m 23m 41 / 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% 5.40% 3% 42 / 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. 3 0 1 2 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120°each 6 3 5 4 44 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the required roots/region of x x ≤ -1, o ≤ x ≤ 4 x ≤ 4 -1 ≤ x ≤ 4 x ≤ -1, x ≥ 4 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take π = 3.142 ) 10.3cm square 50.3cm sqaure 17.4cm square 15.7cm sqaure 46 / 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 N828.00 N684.00 N756.00 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If duty is levied at 25%, find the duty to be added to a bill of N80. N100 N20 N150 N80 48 / 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 3.5cm 3.6cm 2.6cm 7.0cm 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60o. (24 + 6 π)cm (12 + 4π)cm (24 + 4π)cm (12 + 6π)cm 50 / 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 42 47 54 46 51 / 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) 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12 xy = 7 15x + 17y = 90 5x + 7y = 20 7x + 5y = 70 53 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 3(2 + √5) 3 √2 + 1 2(3 + √5) 5(2 + √3) 54 / 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? twice as much the same half as much three times as much 55 / 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 20 16 18 56 / 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 57 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 13 15 12 14 58 / 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? 2000 1000 4000 3000 59 / 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 3 8 4 6 60 / 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 282m 148m 248m 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
