Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th March 1998

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 1.2, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(11))(5 - sqrt(11)).
3
Rearranging Harder Formulae3 marks
Make x the subject of 7x + 5 = y(x + 5).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 36. Work out the positive value of x when y = 144.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 5b and vector RS = 6a + 10b. What does this show about PQ and RS?

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