Daily Practice · Higher Plus
May 1973 5-a-day
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The batch download puts all 5 tiers' May 1973 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1973
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1973y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 49.
- 2nd May 1973The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 3rd May 1973A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 15/28. Work out r.
- 4th May 1973On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 5th May 1973A car covers 370 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 6th May 1973Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
- 7th May 1973A train slows steadily from 19 m/s to rest in 4 seconds. Work out its deceleration.
- 8th May 1973In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 9th May 1973The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?
- 10th May 1973A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 1.4. How many values in total?
- 11th May 1973Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
- 12th May 1973Use the iteration x(n+1) = cube root of (10x(n) + 2) with x(0) = 3. Work out x(1) to 3 decimal places.
- 13th May 1973y is inversely proportional to x^2. When x = 2, y = 27. Work out y when x = 3.
- 14th May 1973In a vector proof you find that vector PQ = 3a - b and vector RS = 15a - 5b. What does this show about PQ and RS?
- 15th May 1973A bag holds 7 red and n blue counters. The probability of taking a red is 7/12. Work out n.
- 16th May 1973On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 17th May 1973Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
- 18th May 1973Work out the nth term of the quadratic sequence 8, 19, 34, 53, ...
- 19th May 1973y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 3.
- 20th May 1973A cuboid measures 6 cm by 6 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 21st May 1973A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 22nd May 1973A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
- 23rd May 1973A rectangle is 10 cm by 26 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 24th May 1973The point (-4, -4) lies on y = f(x). Write down its image on y = f(x) + 2.
- 25th May 1973y is directly proportional to sqrt(x). When x = 36, y = 24. Work out y when x = 81.
- 26th May 1973A cuboid measures 9 cm by 13 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 27th May 1973A bag holds 7 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 28th May 1973On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 29th May 1973Expand and simplify (5 + sqrt(5))(5 - sqrt(5)).
- 30th May 1973Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 31st May 1973A train slows steadily from 30 m/s to rest in 10 seconds. Work out its deceleration.