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 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. N828.00 N720.00 N756.00 N684.00 2 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS An arc of a circle of radius 14cm subtends angle 300Â° at the centre. Find the perimeter of the sector formed by the arc (take Ï€ =Â 22/7) 42.67cm 14.67cm 513.33cm 101.33cm 3 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS What is the loci of a distance 4cm from a given point P? a circle of radius 4cm A straight line of length 4cm perpendicular to point P at 4cm a circle of diameter 4cm 4 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The base in which the operation was performed was 2 6 5 4 5 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the range of values of t which satisfies the inequality.2t âˆ’ 1Â â‰¤â‰¤Â 3 and 2âˆ’ tÂ â‰¥â‰¥Â 5 -3â‰¤tâ‰¤4 -2â‰¤tâ‰¤3 -3â‰¤tâ‰¤1 -3â‰¤tâ‰¤2 6 / 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 70 20 54 7 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS An arc of the length 16Ï€Ï€cm subtends an angle of 80^{o}Â at the centre of the circle. Find the radius of the circle. 24cm 28cm 36cm 32cm 8 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the simple interest on N325 in 5years at 3% per annum. N75.50K N15.75K N48.75K N50.10K 9 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Rationalize 5 Ã· (2 âˆ’ âˆš3) 3(2 + âˆš5) 3 âˆš2 + 1 2(3 + âˆš5) 5(2 + âˆš3) 10 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The curved surface area of a cylinder 5cm high is 110cm^{2}. Find the radius of its baseÏ€ = 22/7 2.6cm 3.5cm 3.6cm 7.0cm 11 / 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 16 8 4 12 / 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 3/28 3/24 3/21 2/15 13 / 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 Newtonâ€™s is 2cm, find the extension produced by a tension of 12 newtonâ€™s. 3 2 1 0 14 / 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 170 degrees 123 degrees 137 degrees 15 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In a town of 6250 inhabitants, there were 62 births during 1984. Find the percentage birth rate 5.40% 1.0% 3% 2.5% 16 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS An arc subtends an angle of 30^{o}Â at the centre of a circle radius 12cm. Calculate the length of the arc. 2Ï€cm 9Ï€cm 3Ï€cm 6Ï€cm 17 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Given that Z = {1,2,4,5} what is the power of set Z? 16 8 10 12 18 / 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 19 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If a rod 10cm in length was measured as 10.5cm, calculate the percentage error 10% 8% 5% 7% 20 / 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 21 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the letters LEADER be arranged? 720 72 144 360 22 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If duty is levied at 25%, find the duty to be added to a bill of N80. N100 N150 N80 N20 23 / 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 78Â°. Find the height of the tree correct to the nearest whole number. 282m 382m 148m 248m 24 / 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% 25% 32% 60% 25 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the gradient of the line joining the points (3, 2) and (1, 4) 2/1 3/2 -1 3/2 26 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (0.09)^{2}Â and give your answer correct to 4 significant figures 0.081 8.0001 0.0081 0.81 27 / 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 28 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of a circle of radius 4cm is equal to (Take Ï€ = 3.142 ) 17.4cm square 15.7cm sqaure 50.3cm sqaure 10.3cm square 29 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MACICITA be arranged? 8!/2! 8!/2!2!2! 8! 8!/3!2! 30 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the perimeter of a sector of a circle of raduis 12cm and angle 60^{o}. (24 + 6 Ï€)cm (12 + 4Ï€)cm (12 + 6Ï€)cm (24 + 4Ï€)cm 31 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The volume of a cone (s) of height 6cm and base radius 5cm is 155cm cube 175cm cube 145cm cube 157cm cube 32 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of the interior angles of a polygon is a given as 1080^{o}. Find the number of the sides of the polygon. 8 5 6 7 33 / 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? 6 3 5 4 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? 36 degree 32 degree 39 degree 24 degree 35 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm 1920cm square 296cm square 148cm square 592cm square 36 / 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 37 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The probability of an outcome A is 1/6 . The probability of the B outcome is 1/4 . If the probability of A or B or both is 1/12 . What is the probability of both outcomes A and B? 3/4 1/3 2/5 1/2 38 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the range of the following set of numbers 0.4, âˆ’0.4, 0.3, 0.47, âˆ’0.53, 0.2 and âˆ’0.2 0.03 1.03 1.0 0.07 39 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Calculate the value of x and y if (27^{x}Â Ã· 81^{x+2y}Â = 9 ,x + 4y = 0 x = 2, y = â€“ 1/2 x = 1, y = 1/2 x = 2, y = â€“1 x âˆ’ 0, y = 1 40 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A boy walks 800 m in 20 minutes. Calculate his average speed in Km/H 10 4 2.4 24 41 / 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 12 16 10 42 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Find the x and y intercepts of the graph of 3x - zÂ â‰¤â‰¤Â 9 (-3, 0) (-3, 9) (-3, -9) (3, -9) 43 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Divide the L.C.M of 48, 64 and 80 by their H.C.F 60 48 30 20 44 / 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 45 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Simplify (3âˆš64a^{3})âˆ’1 1/4a 1/8a 8a 4a 46 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS How many sides has a regular polygon whose interior angles are 120Â°each 6 3 4 5 47 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS Factorize completely x^{2}Â + 12xy + yÂ + 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) 48 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS From the diagram above, find the value of < OTQ 55 degrees 115 degrees 65 degrees 230 degrees 49 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The area of an ellipse is 132cm^{2}.The length of its major axis is 14cm.Find the length of it minor axis 12cm 10cm 10.5cm 5cm 50 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS If log_{5}20 = x, find x 1.761 1.861 1.354 2.549 51 / 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 6 3 8 52 / 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 N1,080.00 N 2,400.00 N 3,600.00 53 / 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 = 4 nth = 5 nth = 3 nth = 6 54 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS The sum of two numbers is 5; their product is 14. Find the numbers. x = 7 or âˆ’ 2 x = 7 or 1 x = 5 or 1 x = 7 or 0 55 / 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 5x + 7y = 20 15x + 17y = 90 xy = 7 56 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS A man bought a car for N800 and sold it for N520. Find his loss per cent 15% 25% 35% 10% 57 / 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? 16 22 17 20 58 / 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 13Â° 56.3Â° 46.8Â° 48.6Â° 59 / 60 Category: JAMB MATHEMATICS PAST QUESTIONS In how many ways can the word MATHEMATICS be arranged? 11!/9!2!2 11!/2!2! 11!/2!2!2! 11!/9!2 ! 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 â‚¦ 80 000. Find the amount allocated to fertilizer â‚¦ 40,000 â‚¦ 20,000 â‚¦ 25,000 â‚¦ 35, 000 Email Your score is LinkedIn Facebook Twitter VKontakte 0% Restart quiz Send feedback

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