Daily Practice

Higher Plus

8th September 1966

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 1.5, one 20 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(50) + sqrt(18), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 5/(x + 3) + 6/(x - 1) as a single fraction.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 100. Work out the positive value of x when y = 36.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a - 4b and vector RS = 3a - 12b. What does this show about PQ and RS?

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