Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

31st January 2008

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 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (3x(n) + 3) with x(0) = 4. Work out x(1) to 3 decimal places.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 72. Work out the positive value of x when y = 18.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 5b and vector RS = 15a + 25b. What does this show about PQ and RS?

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