Daily Practice

Higher Plus

20th December 1958

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

1
Bounds3 marks
A car covers 640 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
2
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides 15 cm, 16 cm and 6 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.

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