Daily Practice

Higher Plus

20th October 1962

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides 16 cm, 9 cm and 14 cm. Work out the angle opposite the 16 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 10 has a frequency density of 2.4. How many values are in that class?
5
Bounds3 marks
A car covers 720 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.

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