Daily Practice · Higher Plus
March 1970 5-a-day
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The batch download puts all 5 tiers' March 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1970In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?
- 2nd March 1970A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
- 3rd March 1970A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 4th March 1970A rectangle is 4 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 5th March 1970Simplify (x^2 - 5x - 6)/(x + 1).
- 6th March 1970y is directly proportional to sqrt(x). When x = 9, y = 24. Work out y when x = 49.
- 7th March 1970A cuboid measures 8 cm by 4 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 8th March 1970A 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?
- 9th March 1970On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 10th March 1970Expand and simplify (4 + sqrt(6))(4 - sqrt(6)).
- 11th March 1970In an algebraic proof, how would you write three consecutive integers in terms of an integer n?
- 12th March 1970A train slows steadily from 32 m/s to rest in 8 seconds. Work out its deceleration.
- 13th March 1970A cuboid measures 9 cm by 12 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 14th March 1970A bag holds 4 red, 6 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 15th March 1970A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 3. How many values in total?
- 16th March 1970A block has mass 700 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 17th March 1970Make x the subject of 7x + 4 = y(x + 4).
- 18th March 1970y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
- 19th March 1970The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 20th March 1970A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/11. Work out r.
- 21st March 1970On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 22nd March 1970x = 91 and y = 42, each correct to the nearest whole number. Work out the upper bound of x - y.
- 23rd March 1970Write 6/(x + 2) + 4/(x + 3) as a single fraction.
- 24th March 1970y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 25th March 1970In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 26th March 1970The probability of winning a game is 3/4. A player expects 45 wins. How many games did they play?
- 27th March 1970A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 28th March 1970A car covers 680 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 29th March 1970Solve 12x^2 + x - 1 = 0.
- 30th March 1970y is directly proportional to sqrt(x). When x = 4, y = 14. Work out y when x = 9.
- 31st March 1970In a vector proof you find that vector PQ = 2a + 2b and vector RS = 4a + 4b. What does this show about PQ and RS?