Welcome to your Numbers(Senior Class Math Study by Topics) NAME EMAIL PHONE NUMBER 1. The universal set U has subsets M and N such that M ⊆ N. The set of M∪(M∩N)' is U M {} N 2. If 1010102 = x10 + 11112, the value of x is 13 32 19 27 3. If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} X = {1, 2, 4, 6, 7, 8, 9} Y = {1, 2, 3, 4, 7, 9} Z = {2, 3, 4, 7, 9}What is X∩Y∩Z? {1} {} {1, 2, 5, 7} {1, 1, 2, 5, 2, 5, 7} 4. Three girls, Tireni, Jessy & Pryanka shared a packet of sweets. If Tireni received 2/5 of the sweets, Jessy received 5/9 of the remainder and Pryanka got 8 sweets. How many sweets were in the packet? 40 30 25 20 5. A plumber's daily wage is £80 for the first 10 days and £100 for the next 9 days. Find the daily wage for the remaining 6 working days of the month, if his average daily wage for the month is £90.80 £95 £110 £92.50 £105 6. Evaluate 3134 – 1314 + 3334 1311 base 4 211 base 4 1121 base 4 1312 base 4 7. If X = (a, b, c), Y = (a, b, c, d, e) and Z = (a, b, c, d, e, f, g)then (X∪Y)∩(X∪Z) is (a, b, c) () (a, b, c, d, e, f, g) (a, b, c, d, e) 8. The baking recipe for a piece of brownie cake is given as 1.5 cups of sugar and 3.5 cups of flour. If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, the number of cups of sugar used is 8 20 15 12 9. The ratio of the price of a tin of milk to that of a packet of sugar is m : p. If the price of milk now goes up by 25% while that of sugar goes up by 15%, the new ratio of the prices is 23m : 25p 5p : 3m 25m : 23p 3p : 5m 10. 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 {1, 2, 3} {-4, -3, -2, -1, 0, 1, 2, 3} {0, 1, 2, 3} 11. 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% profit 18.5% profit 12% loss 12. A dealer makes a profit of 20% by selling a crate of soft soft drinks for £600.00. The cost of the crate of soft drinks to the dealer was £540.00 £500.00 £520.00 £480.00 13. The number 101.0112 converted to base ten is equal to 2.200 5.375 3.125 4.250 14. The journey from Southampton to London usually takes a motorist 1 hour 30 minutes. By increasing his average speed by 20km/hr, the motorist saves 15 minutes. His usual speed in km/hr is 90 80 85 100 15. A sum of N420 is shared among three children in the ratio 6 : 7 : 8. The largest share is N120 N180 N140 N160 16. If U = {5, 6, 7, 8}, P ={6, 7} and Q = {6, 8}, then, (P∩Q)' is {5, 7, 8} {5, 6, 7} {5, 8} {6, 7} 17. The speed of 144 kilometres per hour, expressed in metres per second is 40 36 72 20 18. If 14twelve = yeight, the value of y is 15 20 14 16 19. 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 3 : 2 3 : 4 4 : 3 20. 110111two – Xten = 10101two, find X 16 34 36 24 21. Find y if (y3)2 = 3014 21 22 12 11 22. A school has 43 students in class 3A and 47 students in 3B. The average score in a test is 55 for class 3A and 60 for class 3B. The average score for both classes, correct to one decimal place, is 57.5 58.1 57.8 57.6 23. If R = {x : x² = 16, x > 5}, then R is equal to 0 {} {0} {5} 24. 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 $20,000 $25,000 $22,000 $28,000 25. If R = {2, 4, 6, 7} and S = {1, 2, 4, 8} find R∪S {} {1, 2, 4, 6, 7, 8} {4} {2,7} 1 out of 25