Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th July 2022

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 = 2, y = 64. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides 11 cm, 12 cm and 6 cm. Work out the angle opposite the 11 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 3/5. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 3, 2, 0.5, 1. Which class contains the median?
5
Surds3 marks
Simplify sqrt(50) + sqrt(72), giving your answer in the form a sqrt(b).

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