book Maths Puzzle Numerical Ability

A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test?

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describe explicitly a linear transformation from R^3 into R^3 which rangethe subspace spanned by (1,0,-1) and (1,2,2). A cheetah is 300 feet from its prey. It starts to sprint toward its prey at 90 feet per second. At the same time, the prey starts to sprint at 70 feet per second. When will the cheetah catch its prey?