Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

28th September 1999

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (6 + sqrt(2))(6 - sqrt(2)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
3
Velocity Time Graphs2 marks
A train slows steadily from 30 m/s to rest in 10 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 5 cm with an angle of 49° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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