Daily Practice

Higher Plus

21st November 1989

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 = 56. Work out y when x = 36.
2
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = b. X is the point dividing AB in the ratio 1 : 3. Write vector OX in terms of m and b.
3
Probability Equation Questions3 marks
The probability of winning a game is 4/5. A player expects 60 wins. How many games did they play?
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (8 + sqrt(10))(8 - sqrt(10)).

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