Daily Practice

Higher Plus

14th July 1970

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

1
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
2
Rearranging Harder Formulae3 marks
Make x the subject of 8x + 5 = y(x + 5).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = p. X is the midpoint. Write vector OX in terms of m and p.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 16 wins. How many games did they play?

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