Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th November 2003

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 = 162. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 4 cm, 12 cm and 10 cm. Work out the angle opposite the 4 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
4
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 1.2. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.

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