Daily Practice · Higher Plus

Daily Practice - Higher Plus

9th July 1996

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

1
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
2
Algebraic Fractions3 marks
Write 4/(x - 2) + 2/(x + 2) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 34 m/s to rest in 10 seconds. Work out its deceleration.
4
The Sine Rule3 marks
In triangle ABC, angle A is 37°, side a is 12 cm and side b is 5 cm. Work out the acute angle B, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?

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