Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th March 1999

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 1.5, one 25 units wide with density 3.5. How many values in total?
2
Surds3 marks
Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
3
Inverse and Composite Functions3 marks
f(x) = 5x - 4 and g(x) = 5x + 4. Work out fg(0).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 80. Work out the positive value of x when y = 320.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 10a + 5b. What does this show about PQ and RS?

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