Daily Practice

Higher Plus

13th January 1975

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

1
Bounds3 marks
A block has mass 270 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Factorising Harder Quadratics3 marks
Solve 12x^2 - 23x + 10 = 0.
3
Velocity Time Graphs2 marks
A train slows steadily from 17 m/s to rest in 10 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 11 cm and an area of 55.00 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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