Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th August 1995

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 20 units wide with density 3. How many values in total?
2
Bounds3 marks
A block has mass 840 g (to the nearest 10 g) and volume 6 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
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 = 360.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 288. Work out the positive value of x when y = 392.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 6b and vector RS = 25a - 30b. What does this show about PQ and RS?

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