Daily Practice · Higher Plus
May 1988 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1988 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1988A cuboid measures 8 cm by 3 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 2nd May 1988A bag holds 5 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 3rd May 1988A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
- 4th May 1988A rectangle is 16 cm by 4 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5th May 1988In an algebraic proof, how would you write an even number in terms of an integer n?
- 6th May 1988y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 6.
- 7th May 1988A cuboid measures 10 cm by 12 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 8th May 1988A bag holds 6 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 9th May 1988On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 10th May 1988Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
- 11th May 1988Make x the subject of 5x + 2 = y(x + 2).
- 12th May 1988y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
- 13th May 1988The 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.
- 14th May 1988A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
- 15th May 1988A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 0.6. How many values in total?
- 16th May 1988A block has mass 800 g (to the nearest 10 g) and volume 4 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 17th May 1988Write 3/(x - 4) + 3/(x - 6) as a single fraction.
- 18th May 1988y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 16.
- 19th May 1988In 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.
- 20th May 1988The probability of winning a game is 3/5. A player expects 9 wins. How many games did they play?
- 21st May 1988On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd May 1988x = 118 and y = 84, each correct to the nearest whole number. Work out the upper bound of x - y.
- 23rd May 1988Solve 12x^2 - 5x - 25 = 0.
- 24th May 1988A train slows steadily from 33 m/s to rest in 4 seconds. Work out its deceleration.
- 25th May 1988In a vector proof you find that vector PQ = 6a - 5b and vector RS = 12a - 10b. What does this show about PQ and RS?
- 26th May 1988A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
- 27th May 1988A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 28th May 1988A car covers 300 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 29th May 1988f(x) = 7x - 1. Work out the inverse function f^-1(x).
- 30th May 1988y is inversely proportional to x^2. When x = 4, y = 36. Work out y when x = 3.
- 31st May 1988A cuboid measures 4 cm by 7 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.