Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

28th December 2017

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

1
Surds3 marks
Simplify sqrt(18) + sqrt(32), giving your answer in the form a sqrt(b).
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 8 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 10 cm and 16 cm and an area of 56.57 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.

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