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% 0 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 Given the quadrilateral RSTO inscribed in the circle with O as centre. Find the size angle x and given RST = 60o 100 degrees 140 degrees 120 degrees 10 degrees 2 / 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! 3 / 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 11/20 1/10 9/20 4 / 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 5/8 1/2 3/8 5 / 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? 22 20 16 17 6 / 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 248m 282m 148m 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the cyclic quadrilateral above, find < TVS 50 degree 80 degree 60 degree 70 degree 8 / 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 ₦ 5,000 ₦ 4,000 ₦ 4,700 9 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If the mean of 4, y, 8 and 10 is 7. Find Y? 10 9 7 6 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 = 3 nth = 5 nth = 4 nth = 6 11 / 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. N820 N1,640 N4,920 N676.50 12 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If m * n = [mn − nm] for m, n belong to R, evaluate − 3 * 4 3 4 5 6 13 / 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? 420Km 200Km 210Km 405Km 14 / 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 240° 210° 026° 045° 15 / 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 6 4 16 / 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 5 6 17 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The mean of 2-t, 4+t, 3-2t, 2+t and t-1 is -2 t 2 -t 18 / 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 N684.00 N828.00 N720.00 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120°each 3 5 6 4 20 / 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} {} 21 / 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 3,000.00 N 2,400.00 N 3,600.00 N1,080.00 22 / 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? 960 litres 160 litres 720 litres 225 litres 23 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, Find the value of < ROP 110 degrees 70 degrees 85 degrees 95 degrees 24 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify 4 √[(390695T− 8)½)] 1/T 2T T/5 5/T 25 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 65 degrees 115 degrees 55 degrees 230 degrees 26 / 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? (2,3,18) (2,3,6) (2,3,9) (2,3) 27 / 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) 28 / 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 0 x = 7 or 1 x = 7 or − 2 29 / 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 1.03 0.03 1.0 30 / 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 15x + 17y = 90 xy = 7 5x + 7y = 20 31 / 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 three times as much twice as much half as much 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Divide the L.C.M of 48, 64 and 80 by their H.C.F 60 30 20 48 33 / 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 42 47 46 34 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify √30 × √40 15 √3 10 √3 5 √3 20 √3 35 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the simple interest on N325 in 5years at 3% per annum. N50.10K N75.50K N48.75K N15.75K 36 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take π = 3.142 ) 10.3cm square 15.7cm sqaure 50.3cm sqaure 17.4cm square 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If x10 = 235. Find x 15 12 14 13 38 / 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? N14,200 N12,000 N16,200 N8,000 39 / 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 40 / 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 1 0 2 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) 37.3cm sqaure 17.1cm square 27.2cm square 47.1cm square 42 / 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? 45 10 30 35 43 / 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 56.3° 48.6° 46.8° 13° 44 / 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) 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Solve x2 − 2x − 3 = 0 x = 1 or 2 x = 2 or 1 x = 1 or 0 x = 3 or -1 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 ÷ (2 − √3) 3 √2 + 1 3(2 + √5) 5(2 + √3) 2(3 + √5) 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15, and 23. 10 10.2 11.3 11.2 48 / 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 36 degree 39 degree 49 / 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 54 70 20 50 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If log520 = x, find x 2.549 1.761 1.861 1.354 51 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (0.09)2 and give your answer correct to 4 significant figures 8.0001 0.0081 0.081 0.81 52 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MATHEMATICS be arranged? 11!/9!2 ! 11!/2!2!2! 11!/9!2!2 11!/2!2! 53 / 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 3πcm 6πcm 9πcm 54 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Convert 0.04945 to two significant figures 0.050 Convert 0.04945 to two significant figures 0.49 0.049 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% 15% 25% 35% 56 / 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 15 20 21 57 / 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? 50 15 30 25 58 / 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? 15 20 30 25 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the place value of 9 in the number 3.0492? 9/10000 9/1000 9/10 9/100 60 / 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 ₦ 20,000 ₦ 25,000 ₦ 40,000 ₦ 35, 000 Email Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback