Daily Practice

Higher Plus

2nd April 1977

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A car covers 670 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 3/(x - 3) + 6/(x + 6) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 42. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 9 cm and 16 cm and an area of 62.35 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) = 1/45. Work out r.

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