Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

9th November 2021

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
2
The Cosine Rule3 marks
A triangle has sides 19 cm, 15 cm and 6 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 2 red and n blue counters. The probability of taking a red is 1/5. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).

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