Daily Practice · Higher Plus
May 2001 - Higher Plus 5-a-day
Every Higher Plus sheet published in May 2001, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' May 2001 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2001
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2001On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2nd May 2001A rectangle is 22 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3rd May 2001Prove that the sum of 3 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 4th May 2001A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.
- 5th May 2001The 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.
- 6th May 2001A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 10/21. Work out r.
- 7th May 2001A histogram has two bars: one 20 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?
- 8th May 2001Expand and simplify (2 + sqrt(2))(2 - sqrt(2)).
- 9th May 2001f(x) = 4x + 4 and g(x) = 4x + 1. Work out fg(3).
- 10th May 2001y is inversely proportional to x^2. When x = 3, y = 4. Work out y when x = 2.
- 11th May 2001In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
- 12th May 2001The probability of winning a game is 1/5. A player expects 4 wins. How many games did they play?
- 13th May 2001On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 14th May 2001A block has mass 230 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 15th May 2001The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 16th May 2001y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 17th May 2001In a vector proof you find that vector PQ = 6a + b and vector RS = 24a + 4b. What does this show about PQ and RS?
- 18th May 2001A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
- 19th May 2001A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 3. How many values in total?
- 20th May 2001x = 72 and y = 58, each correct to the nearest whole number. Work out the upper bound of x - y.
- 21st May 2001A quadratic sequence starts 6, 20, 42, 72. Work out the second difference, and the coefficient of n^2.
- 22nd May 2001y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 9.
- 23rd May 2001A cuboid measures 10 cm by 7 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 24th May 2001A bag holds 8 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 25th May 2001On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 26th May 2001A car covers 270 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 27th May 2001Solve x^2 - 4x - 5 < 0.
- 28th May 2001A train slows steadily from 28 m/s to rest in 8 seconds. Work out its deceleration.
- 29th May 2001A cuboid measures 14 cm by 14 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 30th May 2001A bag holds 5 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 31st May 2001A histogram has two bars: one 20 units wide with frequency density 1.2, one 25 units wide with density 0.8. How many values in total?