Daily Practice

Higher Plus

9th October 1987

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 8 cm, 9 cm and 8 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
4
Histograms3 marks
On a histogram the bar for 0 < x <= 5 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 121/sqrt(11), giving your answer in its simplest form.

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