Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

6th August 2020

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

1
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 1/2. Work out n.
2
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
3
Surds3 marks
Simplify sqrt(20) + sqrt(5), giving your answer in the form a sqrt(b).
4
Proof2 marks
In an algebraic proof, how would you write the next even number after 2n in terms of an integer n?
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 25.

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