Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th December 2002

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

1
Surds3 marks
Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
2
Factorising Harder Quadratics3 marks
Solve 4x^2 - 13x + 3 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 31 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 7 cm and 12 cm and an area of 29.70 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.

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