Daily Practice

Higher Plus

4th March 1956

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
2
Bounds3 marks
x = 196 and y = 132, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Transforming Graphs y=f(x)3 marks
The point (-4, -2) lies on y = f(x). Write down its image on y = f(x + 3).
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 75.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 5b and vector RS = 20a + 25b. What does this show about PQ and RS?

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