Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

23rd October 1998

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 = 2, y = 16. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides of 9 cm and 15 cm with an angle of 62° between them. Work out the third side, to 1 decimal place.
3
Conditional Probability3 marks
A bag holds 5 red, 3 blue and 2 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 50 < x <= 70 has a frequency density of 3.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 54/sqrt(6), giving your answer in its simplest form.

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