Daily Practice

Higher Plus

16th April 1964

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Surds3 marks
Simplify sqrt(48) + sqrt(12), giving your answer in the form a sqrt(b).
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 17, 32, 53, 80. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = m and vector OB = q. X is the midpoint. Write vector OX in terms of m and q.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/5. A player expects 18 wins. How many games did they play?

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