Daily Practice · Higher Plus
May 2000 - Higher Plus 5-a-day
Every Higher Plus sheet published in May 2000, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' May 2000 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2000A block has mass 720 g (to the nearest 10 g) and volume 20 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2nd May 2000Simplify (x^2 + 9x + 14)/(x + 2).
- 3rd May 2000y is directly proportional to sqrt(x). When x = 49, y = 28. Work out y when x = 81.
- 4th May 2000A cuboid measures 6 cm by 12 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 5th May 2000A bag holds 4 red, 7 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 6th May 2000On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 7th May 2000x = 68 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
- 8th May 2000In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 9th May 2000A train slows steadily from 16 m/s to rest in 4 seconds. Work out its deceleration.
- 10th May 2000The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 11th May 2000A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 12th May 2000A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 1.4. How many values in total?
- 13th May 2000A car covers 740 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 14th May 2000Make x the subject of 4x + 6 = y(x + 6).
- 15th May 2000y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
- 16th May 2000In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 17th May 2000The probability of winning a game is 3/5. A player expects 78 wins. How many games did they play?
- 18th May 2000On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 19th May 2000Rationalise the denominator of 66/sqrt(11), giving your answer in its simplest form.
- 20th May 2000Write 4/(x + 5) + 3/(x + 6) as a single fraction.
- 21st May 2000y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
- 22nd May 2000In a vector proof you find that vector PQ = 2a - 5b and vector RS = 10a - 25b. What does this show about PQ and RS?
- 23rd May 2000A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
- 24th May 2000A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3. How many values in total?
- 25th May 2000Simplify sqrt(27) + sqrt(48), giving your answer in the form a sqrt(b).
- 26th May 2000Solve 5x^2 + 18x - 8 = 0.
- 27th May 2000y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 49.
- 28th May 2000A cuboid measures 13 cm by 10 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 29th May 2000A bag holds 6 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 30th May 2000On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 31st May 2000A rectangle is 6 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.