Daily Practice

Higher Plus

19th July 1990

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 35. Work out y when x = 64.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = b and vector OB = m. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of b and m.
3
Probability Equation Questions3 marks
The probability of winning a game is 9/10. A player expects 27 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 0.5, 1, 2, 3. Which class contains the median?
5
Surds3 marks
Simplify sqrt(75) + sqrt(3), giving your answer in the form a sqrt(b).

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