Daily Practice

Higher Plus

28th February 1989

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

1
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
2
Quadratic Inequalities3 marks
Solve x^2 + 15x + 56 < 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 16 m/s to rest in 5 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 10 cm and an area of 35.36 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.

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