Daily Practice

Higher Plus

6th October 1970

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

1
Surds3 marks
Expand and simplify (9 + sqrt(6))(9 - sqrt(6)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x - 5.
3
Velocity Time Graphs2 marks
A train slows steadily from 25 m/s to rest in 4 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 12 cm and 14 cm and an area of 59.40 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.

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