Daily Practice

Higher Plus

22nd March 1962

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 14 m/s to rest in 5 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 12 cm and an area of 48.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.

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