Daily Practice

Higher Plus

2nd March 1968

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

1
Bounds3 marks
A car covers 540 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Inverse and Composite Functions3 marks
f(x) = 4x + 4 and g(x) = 3x + 5. Work out fg(-3).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 10 cm, 13 cm and 7 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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