Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th February 2012

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 5/(x - 4) + 6/(x - 1) as a single fraction.
3
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 8 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 6 cm and 9 cm and an area of 19.09 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.

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