Daily Practice · Higher Plus
May 1970 5-a-day
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The batch download puts all 5 tiers' May 1970 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1970A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.
- 2nd May 1970A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?
- 3rd May 1970x = 50 and y = 28, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th May 1970Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 5th May 1970y is inversely proportional to x^2. When x = 3, y = 12. Work out y when x = 2.
- 6th May 1970A cuboid measures 11 cm by 12 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 7th May 1970A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 8th May 1970On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 9th May 1970A car covers 140 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.
- 10th May 1970f(x) = 2x - 7 and g(x) = 3x + 4. Work out fg(2).
- 11th May 1970y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 2.
- 12th May 1970A cuboid measures 10 cm by 10 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 13th May 1970A bag holds 4 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 14th May 1970A histogram has two bars: one 10 units wide with frequency density 2, one 5 units wide with density 0.8. How many values in total?
- 15th May 1970Rationalise the denominator of 24/sqrt(3), giving your answer in its simplest form.
- 16th May 1970The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 17th May 1970y is directly proportional to sqrt(x). When x = 9, y = 6. Work out y when x = 25.
- 18th May 1970The 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.
- 19th May 1970A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/11. Work out r.
- 20th May 1970On 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?
- 21st May 1970Simplify sqrt(20) + sqrt(45), giving your answer in the form a sqrt(b).
- 22nd May 1970A quadratic sequence starts 12, 23, 42, 69. Work out the second difference, and the coefficient of n^2.
- 23rd May 1970A train slows steadily from 21 m/s to rest in 4 seconds. Work out its deceleration.
- 24th May 1970In a circle theorem proof, a step uses the fact that two angles at the circumference stand on the same arc. State the reason being quoted.
- 25th May 1970The probability of winning a game is 3/8. A player expects 12 wins. How many games did they play?
- 26th May 1970A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 1.4. How many values in total?
- 27th May 1970A rectangle is 15 cm by 17 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th May 1970Solve x^2 + 9x + 20 > 0.
- 29th May 1970y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
- 30th May 1970In a vector proof you find that vector PQ = 3a + 4b and vector RS = 9a + 12b. What does this show about PQ and RS?
- 31st May 1970A bag holds 2 red and n blue counters. The probability of taking a red is 1/2. Work out n.