23/03/2020 Numbers(Study by Topics Senior Class) 23/03/2020 0Comments by Gate Academy Welcome to your Numbers(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. Solve for x if 404five = 150x 7 6 9 8 2. Two brothers Kameel and Kafeel owned a business in which the ratio of shares was 3 : 2 respectively. Kafeel later sold ½ of his share to Kameel for £12,000. The value of the business was £60,000 £84,000 £48,000 £24,000 3. If 301 a = 19310, the value of a is 7 5 8 6 4. Evaluate 3134 – 1314 + 3334 1121 base 4 1311 base 4 1312 base 4 211 base 4 5. The universal set U contains all integers. Subsets of U are defined asP = {x : x ≤ 3}Q = {x : -5 < x < 12}R = {x : -2 ≤ x < 5}P ∩ (Q ∪ R)' is {x< -4} {} {-4 {x<0} 6. The lowest common multiple of the prime numbers between 1 and 10 is 105 35 210 70 7. Which of the following fractions is less than one quarter? 14/55 3/11 21/80 17/70 8. If (x2)3 = 110112, the value of x is 100 101 11 10 9. If X= {1, 2, 3, 4} and Y = {3, 5, 6}, the elements of (X ∩ Y) ∪ X are {1,2,4} {3,5,6} {1,2,3,4} {3} 10. A grocer sells an article for £54 at a profit of 8%. What is her percentage profit or loss if she sells the same article for £44? 18.5% loss 12% loss 12% profit 18.5% profit 11. The universal set U contains all integers. Subsets of U are defined asP = {x : x ≤ 3}Q = {x : -5 < x < 12}R = {x : -2 ≤ x < 5}P ∩ Q = ? an infinite set {-4, -3, -2, -1, 0, 1, 2, 3} {0, 1, 2, 3} {1, 2, 3} 12. A businessman invested a total of $200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of $11,600, how much did he invest at 7%? $140,000 $80,000 $100,000 $160,000 13. If 45% of the Nigerian naira (N) is equal to 35% of a foreign currency $, the conversion rate of $ to N is $1 = N 20/9 N 7/9 N 9/7 N 20/7 14. What is the value of 54106 - 25356 2431 base 6 4135 base 7 3241 base 6 3141 base 7 15. The number 635eight, converted to base five is 4132 base 5 3213 base 5 3123 base 5 413 base 5 16. A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. The ratio of the area of the rectangle to that of the square is 2 : 3 4 : 3 3 : 2 3 : 4 17. A number of chocolates were shared out among three children Kafeel, Tara and Kameel in the ratio 2:3:4 respectively. If Kameel got 8, how many sweets were shared out? 12 18 36 24 18. The number 101.0112 converted to base ten is equal to 4.250 2.200 3.125 5.375 19. If 641x + 156x = 807x, the number base x is 10 9 11 8 20. If 14twelve = yeight, the value of y is 16 20 15 14 21. Divide the L.C.M of 36, 54 and 90 by their H.C.F 15 20 45 30 22. P and Q are two sets such n(P ∪ Q) is 50, n(P) is 40 and n(Q) is 18. What is n(P ∩ Q) 58 32 108 8 23. A housewife bought five tubers yam at W34 per tuber and three oranges at W5 each where W is the currency reckoned in base six. The total amount spent by the housewife is W252 base 6 W225 base 6 W352 base 6 W315 base 6 24. A sum of money invested at a simple interest rate R increases to 5/3 times the original sum after 5 years. The value of R is 9.0% 10.5% 6.0% 13.3% 25. The sum of prime numbers between 1 and 15 is 40 39 41 42 1 out of 25
