Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

7th March 2024

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Simplify sqrt(18) + sqrt(32), giving your answer in the form a sqrt(b).
3
Proof2 marks
In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 32. Work out the positive value of x when y = 512.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 4b and vector RS = 15a - 12b. What does this show about PQ and RS?

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