Daily Practice · Higher Plus
March 1956 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1956 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1956
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1956y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 5.
- 2nd March 1956The 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 1956A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/7. Work out r.
- 4th March 1956A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
- 5th March 1956A block has mass 800 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 6th March 1956Write x^2 - 16x + 10 in the form (x + a)^2 + b.
- 7th March 1956y is directly proportional to sqrt(x). When x = 16, y = 36. Work out y when x = 81.
- 8th March 1956In 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.
- 9th March 1956The probability of winning a game is 1/2. A player expects 26 wins. How many games did they play?
- 10th March 1956On 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 1956x = 118 and y = 24, each correct to the nearest whole number. Work out the upper bound of x - y.
- 12th March 1956Work out the coordinates of the turning point of y = x^2 + 2x + 6.
- 13th March 1956A train slows steadily from 14 m/s to rest in 10 seconds. Work out its deceleration.
- 14th March 1956In a vector proof you find that vector PQ = 4a + 6b and vector RS = 8a + 12b. What does this show about PQ and RS?
- 15th March 1956A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 16th March 1956A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 0.8. How many values in total?
- 17th March 1956A car covers 740 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 18th March 1956Simplify (x^2 - 10x + 24)/(x - 6).
- 19th March 1956y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
- 20th March 1956A cuboid measures 10 cm by 6 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 21st March 1956A bag holds 5 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 1956On 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?
- 23rd March 1956Rationalise the denominator of 44/sqrt(11), giving your answer in its simplest form.
- 24th March 1956In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 25th March 1956y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 4.
- 26th March 1956A cuboid measures 7 cm by 4 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 27th March 1956A bag holds 7 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 28th March 1956A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
- 29th March 1956Simplify sqrt(32) + sqrt(8), giving your answer in the form a sqrt(b).
- 30th March 1956Make x the subject of 7x + 5 = y(x + 5).
- 31st March 1956y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 4.