Daily Practice

Higher Plus

21st January 1986

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

1
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
2
Trigonometric and Exponential Graphs2 marks
The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the point dividing AB in the ratio 1 : 3. Write vector OP in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 1/8. A player expects 12 wins. How many games did they play?

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