Daily Practice · Higher Plus
March 2016 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2016, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2016 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2016
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2016A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 2nd March 2016A rectangle is 4 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3rd March 2016The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 4th March 2016y is directly proportional to sqrt(x). When x = 16, y = 16. Work out y when x = 25.
- 5th March 2016A cuboid measures 4 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 6th March 2016A bag holds 7 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 7th March 2016On 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?
- 8th March 2016Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 9th March 2016A quadratic sequence starts 7, 24, 51, 88. Work out the second difference, and the coefficient of n^2.
- 10th March 2016A train slows steadily from 30 m/s to rest in 8 seconds. Work out its deceleration.
- 11th March 2016A cuboid measures 7 cm by 14 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 12th March 2016A bag holds 4 red, 7 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 13th March 2016A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
- 14th March 2016A block has mass 720 g (to the nearest 10 g) and volume 24 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 15th March 2016Solve x^2 + 12x + 32 < 0.
- 16th March 2016y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 17th March 2016The 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.
- 18th March 2016A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 3/10. Work out r.
- 19th March 2016On 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?
- 20th March 2016x = 185 and y = 104, each correct to the nearest whole number. Work out the upper bound of x - y.
- 21st March 2016Write x^2 + 16x - 5 in the form (x + a)^2 + b.
- 22nd March 2016y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 23rd March 2016In 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.
- 24th March 2016The probability of winning a game is 4/5. A player expects 8 wins. How many games did they play?
- 25th March 2016A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.8. How many values in total?
- 26th March 2016A car covers 280 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 27th March 2016Work out the coordinates of the turning point of y = x^2 - 16x - 1.
- 28th March 2016y is directly proportional to sqrt(x). When x = 4, y = 4. Work out y when x = 64.
- 29th March 2016In a vector proof you find that vector PQ = 4a + 4b and vector RS = 16a + 16b. What does this show about PQ and RS?
- 30th March 2016A bag holds 5 red and n blue counters. The probability of taking a red is 5/9. Work out n.
- 31st March 2016On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?