Daily Practice

Higher Plus

2nd February 1978

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(80), giving your answer in the form a sqrt(b).
2
Algebraic Fractions3 marks
Write 4/(x + 3) + 6/(x - 4) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = q and vector OB = c. N is the midpoint. Write vector ON in terms of q and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/4. A player expects 21 wins. How many games did they play?

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