exam Maths Puzzle Numerical Ability

Evaluate without using a calculator or tables

sin(alpha + beta) and cos (alpha + beta), where alpha = pi/4 and beta = pi/3

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exam Other Question

The equation y = 10x - 50 describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line?

Thank you. A northbound train left at noon. Two hours later, a southbound train left the same station. At 6:00 p.m., the two trains were 490 miles apart. Find the rate of each train if the northbound train traveled 15 miles per hour faster than the southbound train.