Daily Practice

Higher Plus

4th October 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 = 4, y = 128. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides 9 cm, 13 cm and 7 cm. Work out the angle opposite the 9 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 <= 20 has a frequency density of 2.4. How many values are in that class?
5
Bounds3 marks
A block has mass 440 g (to the nearest 10 g) and volume 3 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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