Daily Practice

Higher Plus

6th February 1965

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 = 3, y = 54. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 4 cm, 14 cm and 13 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 2.4. How many values are in that class?
5
Bounds3 marks
A car covers 710 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.

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