Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd March 2006

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 21 cm, 16 cm and 10 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/8. Work out n.
4
Histograms3 marks
On a histogram the bar for 20 < x <= 40 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Rationalise the denominator of 63/sqrt(7), giving your answer in its simplest form.

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