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Question: What is the probability of getting a sum of 22 or more when four dice are thrown? (A) 5/432(B) 5/523(C) 5/652(D) 5/325 Solution Total number of ways = 64 = 1296. Number of ways of getting a sum 22 are 6,6,6,4 = 4! / 3! = 46,6,5,5 = 4! / 2!2! = 6. Number […]

Question: Factories a² + 3a – 88 (a-8) (a+11)(a-9) (a+12)(a-2) (a-6)(a-4) (a-5) Solution To factories a² + 3a – 88, we will find two numbers p and q such that p + q = 3 and pq = – 88.Now, 11 + (-8) = 3And 11 x (-8) = – 88Splitting the middle term 3a

Question: Latrell wants to buy something that costs $880 before GST. GST is charged at 10%. What is the total cost after GST is added?(1) $960(2) $968(3) $950(4) $965 Solution: Find the total cost by writing and solving an equation:total cost with GST = cost without GST + 10% of cost without GST= 880 +

Question: Factorise out the highest common factor. If the highest common factor is 1, just retype the polynomial.4z² – 10z(1) 2z(2z–5)(2) 2z(2z+5)(3) 2z(2z*5)(4) 2z(2z-3) Solution: REMEMBER : To factorise a polynomial, first find the highest common factor (HCF) of each monomial. Then factor out the highest common factor using the distributive property. First, factorise each

Question: Find the probability that a leap year has 52 Sundays. (A) (5/7)(B) (5/6)(C) (5/8)(D) (5/9) Solution A leap year can have 52 Sundays or 53 Sundays. In a leap year, there are 366 days out of which there are 52 complete weeks & remaining 2 days. Now, these two days can be (Sat, Sun)

Question: While designing a new dessert menu, the manager of a restaurant offered customers a coupon in exchange for completing a brief survey about their favourite desserts. 10 of the customers accepted the offer.Is this sample of the restaurant’s customers likely to be representative?(1) Yes(2) No Solution: REMEMBER : In a representative sample, the people

Question: Suzie takes 3quizzes each week. How many weeks of school will Suzie have to attend this quarter before she will have taken a total of 6 quizzes?(1) 2 weeks(2) 3 weeks(3) 1 weeks(4) 6 weeks Solution: Write an equation that shows the relationship between the number of weeks Suzie attends school this quarter w

Question: Arrange in Descending order 4123676,71204381,176489,3240973 (A) 71204381, 4123676, 3240973, 176489(B) 4123676,71204381 ,3240973,176489(C) 176489, 4123676, 3240973, 71204381(D) 71204381, 4123676, 3240973, 176489 Solution From the given numbers it’s clear that each number differs in their digit count so first count the digits.4123673=7 digits71204381=8 digits176489=6 digits3240973=7 digitsNow considering this digit counts, write the given numbers in ascending

Question: A corporate team-building event costs $3 for every attendee. If there are 5 attendees, how much will the corporate team-building event cost?(1) $12(2) $13(3) $16(4) $15 Solution: Write an equation showing how the cost d depends on the number of attendees. Then solve.d = 3*5d = 15If there are 5 attendees, the corporate team-building

Question: Mia is watching a baseball game. So far, 10 out of 18 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?Simplify your answer and write it as a fraction or whole number.(1) P(hit) = 5/9(2) P(hit) = 5/7(3) P(hit) = 5/1(4) P(hit) = 5/5 Solution: