Daily Practice

Higher Plus

22nd October 1967

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

1
Bounds3 marks
x = 138 and y = 126, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
3
Velocity Time Graphs2 marks
A train slows steadily from 20 m/s to rest in 10 seconds. Work out its deceleration.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 14 cm and 13 cm and an area of 45.50 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) = 3/10. Work out r.

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