Daily Practice

Higher Plus

1st February 1976

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

1
Bounds3 marks
x = 60 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Algebraic Fractions3 marks
Simplify (x^2 + 3x - 10)/(x + 5).
3
Velocity Time Graphs2 marks
A train slows steadily from 23 m/s to rest in 8 seconds. Work out its deceleration.
4
The Cosine Rule3 marks
A triangle has sides of 18 cm and 7 cm with an angle of 71° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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