MATHEMATICS POST UTMEBy Acadlly Practice the Mathematics Post UTME for Universities, Polytechnics and College of Education with our CBT software and pass your mathematics examination. 0% 9 MATHEMATICS POST UTME MATHEMATICS POST UTME MATHEMATICS POST UTMEBIOLOGY POST UTME/POST JAMBPractice the Mathematics Post UTME for Universities, Polytechnics and College of Education with our CBT software and pass your mathematics examination. 1 / 40 Category: MATHEMATICS POST UTME A chord 6.6m long is 5.6m from the centre of a circle. The radius of the circle is 1.6m 3.2m 6.5m 6.3m 2 / 40 Category: MATHEMATICS POST UTME The sum of the first 20 terms of the progression 3, 6, 12, ... is 3(220 - 1) 3(221 + 1) 3(221 - 1) 3(220 + 1) 3 / 40 Category: MATHEMATICS POST UTME One of these is a demerit of a sample It is faster to survey a sample None of the above It is cheaper to enumerate a sample Results obtained from sample are oftentimes as informative as those from a censor 4 / 40 Category: MATHEMATICS POST UTME The lengths of the sides of a right-angled triangle are ym, (3y - 1)m and (3y + 1)m, find y. 9 8 12 4 5 / 40 Category: MATHEMATICS POST UTME Find the equation of the line through (5,7) parallel to the line 7x + 5y - 5 = 0. 5y + 7x = 70 7x + 5y = 7 y + 5x = 70 5x + 7y = 110 6 / 40 Category: MATHEMATICS POST UTME A ladder 20m long rests against a vertical wall so that the foot of the ladder 9m from the wall. The height (correct to 1 decimal place above the ground at which the upper end of the ladder touches the wall is 17.9m 17.1m 18.7m 18.1m Explanation:Using Pythagoras theromHyp²=adj² + opp²According to the question 20m is the Hyp and the foot is the Adj which is 9m, I'm denoting the height as C 20²=9²+C²400=81+C²400-81=C²C²= 319C=√319C= 17.8605Approx to 1d.pC=17.9 7 / 40 Category: MATHEMATICS POST UTME The graph of cumulative frequency distribution is called Step function Ogive Frequency curve Frequency distribution curve 8 / 40 Category: MATHEMATICS POST UTME In an arithmetic sequence whose 4th term is 14 and whose 11th term is 70, the first term and common difference are a = -10, d = 8 a = 10, d = 8 a =-14, d = 7 a = -7, d = 7 Explanation:a4=a+3d=14 ..... (1)a11=a+10d=70 ..... (2)Solve simultaneously, subtract equation (1) from (2)7d=56d=56/7=8a+3(8)=14a=14−24=−10 9 / 40 Category: MATHEMATICS POST UTME If x and y are two real numbers such that 3x + 2y = 5 and 5x + 4y = 9, then 4x + 3y = 7 5 6 2 Explanation:3x + 2y = 5 multiply by 45x + 4y = 9 multiply by 212x + 8y = 2010x + 8y = 18 (eliminating y tru subtracting both equation)2x = 2 so x = 1Subs. x = 1 into3(1) + 2y = 52y = 5 - 3, 2y = 2 so y = 1x = 1, y = 1 10 / 40 Category: MATHEMATICS POST UTME The second and fifth terms of a geometric progression a 21 and 567 respectively. Find the first time and the common ratio of the progression. 3, 7 -7, 3 7, 3 -3, 7 Explanation:2nd term =ar=21, 5th term =ar4=567⇒5th term2nd term=ar4ar⇒=56721=27 r3=27r=3ar=21a(3)=21⇒a=7Ans: 7,3 11 / 40 Category: MATHEMATICS POST UTME Ann goes swimming regularly. She wants to improve her fitness, so she decides to swim 10 lengths in the first session and increase the number of lengths she swims by 2 every session. When she reaches 50 lengths in a session she will not increase the number any further. After how many sessions does Ann swim 50 lengths for the first time? 20 22 21 19 Explanation:a = 10d = 2L = 50n = ?Using the formulaL - A = (n-1)d50 - 10 = (n-1)240 = (n-1)2Therefore, n - 1 = 40/2n - 1 = 20n = 20 + 1n = 21 12 / 40 Category: MATHEMATICS POST UTME Mr. Robson bought bags of orange for ₦2,500 each. He sold them for ₦90,000 at a loss of 20%. How many bags of orange did he buy? 60 45 50 80 13 / 40 Category: MATHEMATICS POST UTME The chances of three independent events P, Q, R occurring are 1/2, 2/3,1/4 respectively. What are the chances of P and Q only occurring? 2/3 1/4 2/9 1/2 14 / 40 Category: MATHEMATICS POST UTME At what value of x is the function y = x2 - 6x - 7 minimum? 6 5 2 3 15 / 40 Category: MATHEMATICS POST UTME The most frequently occurring number in a set of values is called the ______. Range Mean Mode Median 16 / 40 Category: MATHEMATICS POST UTME List the integral values of which satisfy the inequality −2<7−3x≤10−2<7−3x≤10. -2, 0, 1 1, 2, 3 -1, 0, 1, 2 0, 1, 2 17 / 40 Category: MATHEMATICS POST UTME Paul and his friend, Peter went to buy an article costing ₦600. Peter had 10% of the cost and Paul, 40% of the remainder. How much did they have altogether? ₦196 ₦320 ₦440 ₦276 18 / 40 Category: MATHEMATICS POST UTME If 35 is the median of the data set including 21, 7, 45, 33, 62 and x, then x = 33 37 3 14 Explanation:If the x is inserted in the middle thenMedian = Average of the two numbers at the middle35 = (x + 33) / 270 = x + 33x = 37Therefore, x is 37 19 / 40 Category: MATHEMATICS POST UTME The heights in cm, of 10 children are 145, 163, 159, 162, 167, 149, 150, 160, 170, and 155. The mean height of the children is 160cm 156cm 162cm 158cm Explanation:145 + 163 +159 +162 + 167 +149 +155 +150 + 160 + 170 = 1580Mean = 1580/10 = 158 20 / 40 Category: MATHEMATICS POST UTME What is the sum of the first 40 even positive integers? 1,600 1,640 1,560 820 Explanation:The formula to be used is:N+1×N/2×2N=4040+1×40/2×241×40/216402×2820×2Therefore, the sum of the first 40 even positive integers =1640 21 / 40 Category: MATHEMATICS POST UTME Tunse bought a house for ₦1,250,000.00 and spent ₦350,000.00 to renovate it. He then sold the house for ₦2,000,000.00. What is the percentage gain? 32% 65% 35% 40% Explanation:Tunde Bought A House For 1,250,000 And Renovate It For 350,000.∴ The C.P is 1,250,000 + 350,000 = 1,600,000.Gain = S.P - C.P = 2,000,000 - 1,600,000 = 400,000.∴ To Calculate the Percentage (%) Gain = Gain / Cost Price * 100i.e. 400,000 / 1,600,000 * 100 = 25% 22 / 40 Category: MATHEMATICS POST UTME No of children: 0, 1, 2, 3, 4, 5, 6No of families: 7, 11, 6, 7, 7, 5, 3Find the mode and median respectively of the distribution above. 1, 6 1, 2 1, 1 3, 1 23 / 40 Category: MATHEMATICS POST UTME P is the point (2, 7) and Q is the point (6, 3). What is the gradient of PQ? -1 -0.5 1 0.5 Gradient is denoted by m, which goes by the formulam=(y2−y1)/(x2−x1)m=(3−7)/(6−2)m=−4/4m=−1 24 / 40 Category: MATHEMATICS POST UTME What is sin 30∘? 1 0.866 3/2 1/2 25 / 40 Category: MATHEMATICS POST UTME In an arithmetic sequence with 25 terms, if the first term is 60 and last term is -12 the common difference is -3 2 3 -2 Explanation:L=a+[n−1]d;L=−12,a=60,n=25−12=60+[25−1]d−12=60+[24d]−12−60=24d24d=−72d=−72/24d=−3 26 / 40 Category: MATHEMATICS POST UTME Which of the following is the formula for range? L – H H – L L x H H + L Explanation:H represents highest number in the data while L represents lowest number in the data, e.g 2,5,8,4,3,7; if you are asked to find range, range is 8 - 2 = 6. 27 / 40 Category: MATHEMATICS POST UTME _________ are used when you want to visually examine the relationship between two quantitative variables. a Scatterplots a Line graphs Bar graphs a Pie graphs 28 / 40 Category: MATHEMATICS POST UTME A company employs 100 people, 65 of whom are men. 60 people including all the women are paid weekly. The number of the men that are paid weekly is 35 40 25 30 Explanation:Total people is 100Men are 65therefore, Women are 35 (TOTAL PEOPLE - MEN) Next60 people including all the women have been paidtherefore, 60- 35 (the number of women)which then results to 25 men 29 / 40 Category: MATHEMATICS POST UTME As a general rule, the _______ is the best measure of central tendency because it is more precise. Range Mean Median Mode 30 / 40 Category: MATHEMATICS POST UTME Find the variance of the numbers k, k + 1, k + 2. 2/3 3 1 1/3 31 / 40 Category: MATHEMATICS POST UTME Find the number of sides of a regular polygon whose interior angle is twice the exterior angle. 6 5 9 8 32 / 40 Category: MATHEMATICS POST UTME Find the value of p, if the line which passes through (-1, p) and (-2p, 2) is parallel to the line 2y + 8x - 17 = 0. 2/5 -6/7 4/7 6/7 33 / 40 Category: MATHEMATICS POST UTME AAUA allocations to various faculties in a school budget are as follows:Science: ₦35,000,000.00Education: ₦25,000,000.00Law: ₦20,000,000.00Social and Management: ₦20,000,000.00.In a pie chart to represent this information, the corresponding angle to science is 45° 126° 100° 90° 34 / 40 Category: MATHEMATICS POST UTME Given the list of numbers {1, 6, 3, 9, 16, 11, 2, 9, 5, 7, 12, 13, 8}, what is the median? 9 11 8 7 Explanation:Rearrange the numbers in ascending or descending order i.e 1, 2, 3, 5, 6, 7, 8, 9, 9, 11, 12, 13, 16. The median is the middle number counting from the beginning i.e since there are 13 numbers,Median= (13 + 1)/2 =7, the median is the 7th number = 8 35 / 40 Category: MATHEMATICS POST UTME A dealer increased the price of an item by 20%, and then increased the price of the same item by 30%. If x is the original price, what is the price after the two increases? 1.56 x 1.5 x x + 0.5 x + 0.56 Explanation:1st increase = 0.2 of x = 0.2xTotal = x + 0.2x = 1.2x2nd increase = 0.3 of 1.2x = 0.36xTotal price after the two increases = 1.2x + 0.36x= 1.56x 36 / 40 Category: MATHEMATICS POST UTME Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2. 27/34 , 34/27 1/3 , 2/5 2/3 , 4/5 −34/27 , 73/27 37 / 40 Category: MATHEMATICS POST UTME The _______ is often the preferred measure of central tendency if the data are severely skewed. Median Mode Mean Range 38 / 40 Category: MATHEMATICS POST UTME The roof of a shelter is made from a piece of corrugated iron 2.3m long inclined at 18º to the horizontal. How far from the wall does the roof stick out? 2.2m 0.7m 1.2m 1.1m 39 / 40 Category: MATHEMATICS POST UTME A ladder resting on a vertical wall makes an angle whose tangent is 2.5 with the ground. If the distance between the foot of the ladder and the wall is 60 cm, what is the length of the ladder? 2 m 0.8 m 1.6 m 3 m 40 / 40 Category: MATHEMATICS POST UTME If x and y represent the mean and the median respectively of the following marks of students in a Mathematics test; 11, 12, 13, 14, 15, 16, 17, 18, 19, 21. Find x/y correct to 1 decimal place. 3 2 5 1 Your score is LinkedIn Facebook VKontakte 0% Restart quiz Send feedback