Daily Practice

Higher Plus

10th January 1989

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 1.5, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
3
Algebraic Fractions3 marks
Write 4/(x + 6) + 5/(x + 7) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 128. Work out the positive value of x when y = 392.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a - 3b and vector RS = 30a - 15b. What does this show about PQ and RS?

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