Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

18th January 2022

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

1
Surds3 marks
Expand and simplify (2 + sqrt(3))(2 - sqrt(3)).
2
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 7 cm, 6 cm and 9 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.

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