Daily Practice

Higher Plus

24th July 1984

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

1
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 12 cm and an area of 46.77 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.

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