Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th April 1999

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 = 4.
2
The Cosine Rule3 marks
A triangle has sides 11 cm, 16 cm and 8 cm. Work out the angle opposite the 11 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 20 < x <= 25 has a frequency density of 0.4. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 22/sqrt(2), giving your answer in its simplest form.

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