Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

13th April 2023

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(20), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Simplify (x^2 + 10x + 16)/(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 32. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 6 cm, 10 cm and 7 cm. Work out the angle opposite the 6 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.

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