Daily Practice

Higher Plus

23rd January 1973

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

1
Surds3 marks
Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
2
Algebraic Fractions3 marks
Write 2/(x + 6) + 6/(x - 5) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 10 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 27.00 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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