23/03/2020 Numbers(Study by Topics Senior Class) 23/03/2020 1Comment by Gate Academy Welcome to your Numbers(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. 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? 12% profit 18.5% loss 12% loss 18.5% profit None 2. In a Year 12 class of 45 students, every student has to offer either Chemistry or Economics or both. If 25 students offer Chemistry while 34 offer Economics,how many students offer both subjects? 20 14 11 15 None 3. The value of (1112)2, expressed in base 2 is 111111 110001 110011 100011 None 4. If 641x + 156x = 807x, the number base x is 8 11 9 10 None 5. If 14twelve = yeight, the value of y is 14 16 20 15 None 6. The number 1101012 converted to base ten equals to 49 23 4 53 None 7. A school went into a sports fiesta with a contingent which includes 11 footballers and 8 sprinters. If 3 of the footballers are also sprinters, how many of the students are either footballers or sprinters 11 19 14 16 None 8. Solve for x if (5x)7 = 3710 6 2 4 3 None 9. Solve for y in the following equation given in base two: 11(y + 101) = 1000y 110 11 10 111 None 10. If I is the set of positive integers and P = {x : x ∈ I, x² < 10 and x ≠ 0}, then P = {1, 2, 3} P is an infinite set P = {0, 1} P = {0, 1, 2, 3} None 11. A sum of money invested at 6% per annum simple interest increased to £14,750 after 3 years. The sum was? £12,000 £12,500 £12,800 £13,000 None 12. 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}Q ∪ R = ? P R' R Q None 13. Ebuka sold a radio set to Jenny at a profit of 10% and Jenny sold it for $2612.50 at a loss of 5%. The cost of the radio to Ebuka was $2488 $2375 $2272 $2500 None 14. A worker is allowed 10% of her income tax free and pays 15% on the remainder.If her tax amounts to $2,970, her income is $28,000 $25,000 $22,000 $20,000 None 15. A trader sold an article for N 660.00 at a profit of 20%.In order to make a profit of 30%, the article should have been sold for N990 N715 N858 N792 None 16. Convert 6910 to a number in base two 1000101 100101 1010001 1001101 None 17. Solve for x if 404five = 150x 8 9 6 7 None 18. 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 9/7 N 7/9 N 20/7 None 19. The ratio of the age of a father to that of his son is 9 : 2. If the son is now 8 years old, the ratio of their ages in 4 years time will be 10 : 3 5 : 1 3 : 1 9 : 4 None 20. If E = {k, m, n, p, r}, X = {k, m, n, r}, and Y = {k, n, p},find X' ∩ Y' {m, n} {} {p, r, s, n} {k, m, n} None 21. How long will it take for a sum of money invested at 8% simple interest to double the original sum? 12.5 yrs 10.5 yrs 12 yrs 8 yrs None 22. The sum of prime numbers between 1 and 15 is 42 40 39 41 None 23. In a class of 58 students, 35 offer Biology, 28 offer Economics and 15 offer Physics. Each student offers at least one of the three subjects. If 12 students offer both Biology and Economics, 7 students offer both Biology and Physics and 5 students offer both Economics and Physics, how many students offer all three subjects? 6 8 7 4 None 24. A man bought a wrist watch for $750.00 and re-sold it for $600.00. His percentage loss was? 15% 22.5% 20% 25% None 25. Given that P = {1, 3, 4} and Q = {2, 3, 4}, then P∩Q is {2, 4} {2, 3} {3, 4} {1, 2} None 1 out of 25
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