Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd September 2009

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 25 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(2))(4 - sqrt(2)).
3
Inverse and Composite Functions3 marks
f(x) = 8x - 5. Work out the inverse function f^-1(x).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 81. Work out the positive value of x when y = 324.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 2b and vector RS = 15a + 10b. What does this show about PQ and RS?

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