Daily Practice · Higher Plus
March 2020 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2020, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2020 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2020
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2020y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
- 2nd March 2020In a circle theorem proof, a step uses the fact that the angle in a semicircle is being proved. State the reason being quoted.
- 3rd March 2020The probability of winning a game is 9/10. A player expects 54 wins. How many games did they play?
- 4th March 2020A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
- 5th March 2020Simplify sqrt(50) + sqrt(18), giving your answer in the form a sqrt(b).
- 6th March 2020In an algebraic proof, how would you write an even number in terms of an integer n?
- 7th March 2020y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 25.
- 8th March 2020In a vector proof you find that vector PQ = 3a + 5b and vector RS = 12a + 20b. What does this show about PQ and RS?
- 9th March 2020A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 10th March 2020On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 11th March 2020A rectangle is 28 cm by 24 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 12th March 2020Make x the subject of 4x + 5 = y(x + 5).
- 13th March 2020A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
- 14th March 2020A cuboid measures 6 cm by 11 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 15th March 2020A bag holds 8 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 16th March 2020A histogram has two bars: one 5 units wide with frequency density 2, one 5 units wide with density 3. How many values in total?
- 17th March 2020Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
- 18th March 2020Write 6/(x - 4) + 7/(x + 2) as a single fraction.
- 19th March 2020y is inversely proportional to x^2. When x = 5, y = 108. Work out y when x = 6.
- 20th March 2020A cuboid measures 8 cm by 12 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 21st March 2020A bag holds 4 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 22nd March 2020On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 23rd March 2020A block has mass 650 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.
- 24th March 2020Solve 5x^2 - 24x + 16 = 0.
- 25th March 2020y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 26th March 2020The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
- 27th March 2020A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
- 28th March 2020A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 29th March 2020x = 73 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.
- 30th March 2020f(x) = 7x + 3. Work out the inverse function f^-1(x).
- 31st March 2020y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 81.