Daily Practice

Higher Plus

6th August 1990

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 = 135. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides of 18 cm and 17 cm with an angle of 36° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 7 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
4
Histograms3 marks
On a histogram the bar for 20 < x <= 30 has a frequency density of 1.5. How many values are in that class?
5
Bounds3 marks
A block has mass 800 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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