Daily Practice

Higher Plus

4th April 1977

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 = 81. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 13 cm, 15 cm and 16 cm. Work out the angle opposite the 13 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 20 has a frequency density of 1.5. How many values are in that class?
5
Bounds3 marks
A block has mass 310 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.

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