Daily Practice · Higher Plus
May 2020 - Higher Plus 5-a-day
Every Higher Plus sheet published in May 2020, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' May 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2020In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 2nd May 2020The probability of winning a game is 4/5. A player expects 8 wins. How many games did they play?
- 3rd May 2020A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
- 4th May 2020A block has mass 590 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5th May 2020f(x) = 2x - 8 and g(x) = 5x - 4. Work out fg(-2).
- 6th May 2020y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
- 7th May 2020In a vector proof you find that vector PQ = a + 4b and vector RS = 4a + 16b. What does this show about PQ and RS?
- 8th May 2020A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 9th May 2020On 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?
- 10th May 2020x = 156 and y = 15, each correct to the nearest whole number. Work out the upper bound of x - y.
- 11th May 2020The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 12th May 2020y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 4.
- 13th May 2020A cuboid measures 7 cm by 4 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 14th May 2020A bag holds 3 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 15th May 2020A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 16th May 2020A car covers 780 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 17th May 2020A quadratic sequence starts 6, 18, 36, 60. Work out the second difference, and the coefficient of n^2.
- 18th May 2020y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 49.
- 19th May 2020A cuboid measures 10 cm by 14 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 20th May 2020A bag holds 3 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 21st May 2020On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 22nd May 2020Rationalise the denominator of 6/sqrt(3), giving your answer in its simplest form.
- 23rd May 2020Solve x^2 - 6x - 7 < 0.
- 24th May 2020A train slows steadily from 39 m/s to rest in 5 seconds. Work out its deceleration.
- 25th May 2020The 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.
- 26th May 2020A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 27th May 2020A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
- 28th May 2020Simplify sqrt(8) + sqrt(18), giving your answer in the form a sqrt(b).
- 29th May 2020Write x^2 + 16x + 12 in the form (x + a)^2 + b.
- 30th May 2020y is inversely proportional to x^2. When x = 3, y = 75. Work out y when x = 5.
- 31st May 2020In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.