Daily Practice

Higher Plus

5th January 1990

5 questions · 14 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 2, one 10 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
3
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 147.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 6b and vector RS = 5a + 30b. What does this show about PQ and RS?

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