Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd October 2024

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

1
Surds3 marks
Expand and simplify (8 + sqrt(7))(8 - sqrt(7)).
2
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence -8, -9, -8, -5, ...
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 8 cm and 8 cm and an area of 16.00 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.

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