Daily Practice

Higher Plus

3rd September 1967

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 2.5, one 25 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 80 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
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 = 90.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 729.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 5b and vector RS = 15a - 15b. What does this show about PQ and RS?

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