1.
Muslim High School has 840 students, and the ratio of the number of students taking Spanish to the number not taking Spanish is 4:3. How many of the students take Spanish?
2.
Of the 200 seniors at Millat High School, exactly 40 are in the band. 60 are in the orchestra, and 10 are in both. How many students are in neither the band nor the orchestra?
3.
Consider the sequence 1, 2, 3, 1, 2, 3, 1, 2, 3,…….. What is the sum of the first 100 terms?
4.
If 2x - 1 = 9 then what is 10x - 5?
5.
A googol is the number that is written as 1 followed by 100 zeros. If g represents a googol, how many digits are there in g2.
6.
When a gymnast competes at the Olympics, each of six judges awards a score between 0 and 10. The highest and lowest scores are discarded, and the gymnast’s final mark is the average (arithmetic mean) of the remaining scores. What would be a gymnast’s mark if the judges’ scores were 9.6, 9.4, 9.5, 9.7, 9.2, and 9.6?
7.
Successive discounts of 20% and 15% are equal to a single discount of
8.
It takes Eric 20 minutes to inspect a car. Jane only needs 18 minutes to inspect a car. If they both start inspecting cars at 8:00 a.m., what is the first time they will finish inspecting a car at the same time?
9.
For all numbers s and t, the operation * is defined by S * T = (S - 1)(T + 1), if (-2)* x = -12 then x =
10.
How many two-element subsets of {1, 2, 3, 4} are there that do not contain the pair of elements with 2 and 4?
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