FREE MATHEMATICS PRACTICE QUESTIONS

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IBKINTELLECT

ANSMYQUES

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  • In how many ways can the letters of word​​ Odeyoursbaba​​ be arranged​​ if all vowels must always be together?​​ A.​​ 7!6!2! ​​ ​​ ​​ ​​ ​​ ​​​​ B.​​ 7!6!2!2!2!​​  ​​ ​​​​ C.​​ 7!6!2!2! ​​ ​​ ​​​​ D.​​ 7!6!

  • When a polynomial​​ x3 - 2x2​​ -​​ 7x + p is divided by x + 3, it leaves a remainder of 13. What is the value of p?​​ A. 53  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B. 65  ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ C. 79  ​​ ​​ ​​ ​​ ​​ ​​​​ D.​​ 37

  • Given that f(x + 1) = x3 - 7x2​​ -​​ 6, what is f(2)? ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 0  ​​ ​​ ​​ ​​​​ B. 8  ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ C. -8  ​​ ​​ ​​ ​​ ​​ ​​​​ D. -12

  • A polynomial in x whose zeros are -2, -1 and 3 is A. x3 - 7x + 6  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B. x3 + 7x – 6  ​​ ​​​​ C. x3 + 7x + 6  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. x3 - 7x – 6237

  • How many two-digits numbers can be formed from the digits 0,1,2,3 if a digit can be repeated​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 4  ​​​​ B. 12  ​​​​ C. 16 D. 20

  • In how many ways can a delegation of 3 be chosen from among 5 men and 3 women,​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 85  ​​ ​​ ​​​​ B.​​ 89 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ C.​​ 55 ​​ ​​ ​​ ​​ ​​​​ D. 45

  • Solve the equation​​ 32cosθ+2=-1,  for  θ2π ​​ ​​​​ A.​​ π2,3π2 ​​ ​​ ​​ ​​ ​​​​ B.​​ 3π4,5π4 ​​ ​​ ​​​​ C.​​ 3π4,π4 ​​ ​​ ​​​​ D.​​ -3π4,5π2

  • Evaluate​​ tan7π4, leave your answer in surd form  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ -1  ​​ ​​ ​​ ​​ ​​ ​​​​ B.​​ 2  ​​ ​​ ​​ ​​ ​​​​ C.​​ 1- 2  ​​ ​​ ​​ ​​​​ D.​​ 1+2 ​​​​ 

  • The equation​​ sinθ=cos(2θ+3o)​​ will be true when​​ θ​​ is A. 10o ​​ ​​ ​​​​ B. 20o ​​ ​​ ​​​​ C. 30o ​​ ​​ ​​​​ D. 40o​​ 

  • If the bearing of A to B is 060o​​ if​​ the bearing of A to C is S0oW. If the distance AB and AC are 10km and 12km respectively how far is line BC?  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 18km  ​​ ​​​​ B.​​ 364km  ​​ ​​​​ C.​​ 124km  ​​ ​​ ​​​​ D.​​ 244km

  • A bearing 310°, expressed as a compass bearing is:​​ 
    A. N50°W
     ​​ ​​ ​​ ​​ ​​ ​​​​ B. N40°W ​​ ​​ ​​​​ C. S40°W D. S50°W

  • The length of a rectangle is 5 greater than twice of its width. If the perimeter of the rectangle is 34cm. find the difference between the length and the width.  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 13cm  ​​​​ B. 4cm  ​​​​ C. 9cm  ​​​​ D. 7cm ​​ 

  • Find the value of 3q if (x+2) and (x - 1) are factors of the polynomial 2x2​​ -​​ px3-2x +​​ 2q ​​ A. 1 ​​ B. -1  ​​​​ C.​​ -2 ​​​​ D.​​ -23

  • The polynomial​​ 2x3+ x2-3x+p​​ has a remainder of 20 when divided by (x-2) the value of p is _____ ​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 8  ​​ ​​​​ B. 6  ​​​​ C. -6  ​​​​ D. 1

  • Tolu has a sum of #300 and Folu has a sum of #1860. If Tolu saves #50 a day and Folu spend #70 a day after how many days will they have equal amounts?​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ A. 10  ​​ ​​ ​​​​ B. 12  ​​ ​​​​ C. 13  ​​​​ D. 15

  • A sum of #2440 is made up of #100 notes and #10 notes. There are six times as many #100 notes as there are#10. Find the number of #100 notes.  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 15.25  ​​ ​​​​ B. 4  ​​​​ C.24  ​​ ​​​​ D. 6

  • Construct the quadratic equation whose roots are ​​ 1 -​​ 3​​ and 1 +​​ 3 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. x2​​ + 2x -2 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​​​ B. x2​​ + 2x + 2 = 0  ​​ ​​ ​​​​ C. x2​​ - 2x + 2 = 0  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ D. x2​​ - 2x - 2 = 0

  • The length of a rectangular field is 2m less than twice of its breath. If the length of the diagonal is 5m. the perimeter of the field is ______ ​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 25m  ​​ ​​​​ B. 14m  ​​ ​​​​ C. 18m  ​​ ​​​​ D. 12m​​ 

  • Mr. Ojo paid a sum of N9, 900 to Mr. Yemi with N500 and N200 notes. If total of 27 notes were used. How many N200 notes were used? ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ (a) 10  ​​ ​​ ​​​​ (b) 12  ​​ ​​​​ (c) 14  ​​ ​​ ​​​​ (d) 15

  • In 2012, the sum of the ages of Mr. Alatise and his son is 72years. In 2008, Mr. Alatise was three times older than his son. When will Mr. Alatise be 60years old? ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ ​​ (a) 2018  ​​ ​​ ​​​​ (b) 2024 (c) 2016 ​​ (d) 2020

  • A man drove for 4 hours at a certain speed, he then double his speed and drove for another 3 hours. Altogether he covered 600 kilometers, at what speed did he drive for the last 3 hours?  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 120 km/hr  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ B. 60 km/hr  ​​ ​​ ​​ ​​ ​​​​ C. 600/7 km/hr ​​ D. 50 km/hr  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ E. 100 km/hr

  • A sailor leaves port X to Y on a bearing of 140​​ and covers a distance of 7.5km. He then proceeds to Z on a bearing of 230​​ and covers a distance of 18km.​​ How far is port Z from X?​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ (a) 19.5km  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ (b) 21km (c) 21.5km  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ (d) 22km

  • Five years ago, a father was 3 times as old as his son. Now, their combined ages amount to 110 years. Thus, the present age of the father is​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A.​​ 75 year ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ B. 60 years  ​​​​  ​​ ​​ ​​ ​​ ​​​​ C. 98 years  ​​​​ D.80 year ​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ E. 105 years

  • Two cars X and Y start at the same point and travel towards a point P which is 150km away. If the average speed for Y is 60km per hour and X arrives at P 25 minutes earlier than Y. what is the average speed of X? ​​ A. 513/7​​ km per hour ​​ B. 72 km per hour ​​ C. 371/2​​ km per hour​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ ​​ D. 66 km per hour ​​ E. 75 km per hour

  • Find a two-digit number such that three times the tens digit is 2 less than twice the unit digit, and twice the number is 20 greater than the number obtained by reversing digits. ​​ A. 24 ​​ B. 42 ​​ C. 74 ​​ D. 47  ​​​​ E. 72

 

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