Daily Practice · Higher Plus
March 2019 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2019, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2019 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2019
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2019y is inversely proportional to x^2. When x = 5, y = 72. Work out y when x = 6.
- 2nd March 2019The 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.
- 3rd March 2019A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
- 4th March 2019On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 5th March 2019Expand and simplify (7 + sqrt(5))(7 - sqrt(5)).
- 6th March 2019Work out the nth term of the quadratic sequence 12, 18, 26, 36, ...
- 7th March 2019y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 3.
- 8th March 2019In a circle theorem proof, a step uses the fact that two tangents are drawn to a circle from the same external point. State the reason being quoted.
- 9th March 2019The probability of winning a game is 1/4. A player expects 14 wins. How many games did they play?
- 10th March 2019A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
- 11th March 2019A block has mass 210 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 12th March 2019The point (-3, 2) lies on y = f(x). Write down its image on y = f(-x).
- 13th March 2019y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 64.
- 14th March 2019In a vector proof you find that vector PQ = 3a + 5b and vector RS = 9a + 15b. What does this show about PQ and RS?
- 15th March 2019A bag holds 4 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 16th March 2019On 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?
- 17th March 2019x = 194 and y = 36, each correct to the nearest whole number. Work out the upper bound of x - y.
- 18th March 2019Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 19th March 2019A train slows steadily from 26 m/s to rest in 8 seconds. Work out its deceleration.
- 20th March 2019A cuboid measures 15 cm by 10 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 21st March 2019A bag holds 3 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 22nd March 2019A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
- 23rd March 2019A car covers 540 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 24th March 2019f(x) = 2x + 4 and g(x) = 3x + 3. Work out fg(3).
- 25th March 2019y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
- 26th March 2019A cuboid measures 14 cm by 6 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 27th March 2019A bag holds 7 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 28th March 2019On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 29th March 2019Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
- 30th March 2019The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 31st March 2019y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.