Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd January 2023

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 sqrt(x). When x = 9, y = 15. Work out y when x = 16.
2
The Cosine Rule3 marks
A triangle has sides 12 cm, 13 cm and 11 cm. Work out the angle opposite the 12 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 1, 0.5, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (6 + sqrt(6))(6 - sqrt(6)).

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