Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd December 2024

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

1
Surds3 marks
Expand and simplify (2 + sqrt(5))(2 - sqrt(5)).
2
Completing the Square3 marks
Write x^2 - 16x + 7 in the form (x + a)^2 + b.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 9. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 11 cm, 11 cm and 6 cm. Work out the angle opposite the 11 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 1/2. Work out n.

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