Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th December 2018

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 1.2, one 20 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (6 + sqrt(7))(6 - sqrt(7)).
3
Factorising Harder Quadratics3 marks
Solve 15x^2 + 32x + 16 = 0.
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 = 128.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 5b and vector RS = 10a + 10b. What does this show about PQ and RS?

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