Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th June 2014

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

1
Surds3 marks
Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
2
Iteration3 marks
Use the iteration x(n+1) = cube root of (2x(n) + 6) with x(0) = 2. Work out x(1) to 3 decimal places.
3
Velocity Time Graphs2 marks
A train slows steadily from 39 m/s to rest in 5 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 13 cm and an area of 55.15 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/36. Work out r.

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