Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th October 2023

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 28, 54, 90. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 49.
4
The Cosine Rule3 marks
A triangle has sides 13 cm, 7 cm and 11 cm. Work out the angle opposite the 13 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 4/7. Work out n.

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