Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd March 2021

5 questions · 15 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 0.4, one 20 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(3))(7 - sqrt(3)).
3
The Nth Term of a Quadratic Sequence3 marks
Work out the nth term of the quadratic sequence 2, 10, 22, 38, ...
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 225. Work out the positive value of x when y = 36.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - b and vector RS = 12a - 4b. What does this show about PQ and RS?

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