Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

16th August 2016

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 5 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(11))(7 - sqrt(11)).
3
Algebraic Fractions3 marks
Simplify (x^2 - 6x - 16)/(x + 2).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 72. Work out the positive value of x when y = 288.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + b and vector RS = 16a + 4b. What does this show about PQ and RS?

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