Daily Practice · Higher Plus
April 1969 5-a-day
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The batch download puts all 5 tiers' April 1969 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1969A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
- 2nd April 1969A rectangle is 23 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3rd April 1969The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 4th April 1969y is directly proportional to sqrt(x). When x = 49, y = 56. Work out y when x = 16.
- 5th April 1969In a vector proof you find that vector PQ = 3a + 4b and vector RS = 9a + 12b. What does this show about PQ and RS?
- 6th April 1969A bag holds 6 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 7th April 1969On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 8th April 1969Expand and simplify (7 + sqrt(10))(7 - sqrt(10)).
- 9th April 1969A quadratic sequence starts 7, 26, 55, 94. Work out the second difference, and the coefficient of n^2.
- 10th April 1969A train slows steadily from 27 m/s to rest in 8 seconds. Work out its deceleration.
- 11th April 1969A cuboid measures 13 cm by 13 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 12th April 1969A bag holds 6 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 13th April 1969A histogram has two bars: one 5 units wide with frequency density 2.5, one 10 units wide with density 3. How many values in total?
- 14th April 1969A block has mass 270 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 15th April 1969Solve x^2 - 4x - 12 > 0.
- 16th April 1969y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 17th April 1969A cuboid measures 12 cm by 13 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 18th April 1969A bag holds 7 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 19th April 1969On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 20th April 1969x = 162 and y = 109, each correct to the nearest whole number. Work out the upper bound of x - y.
- 21st April 1969Write x^2 + 12x + 8 in the form (x + a)^2 + b.
- 22nd April 1969y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
- 23rd April 1969The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 24th April 1969A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
- 25th April 1969A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
- 26th April 1969A car covers 650 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 27th April 1969Work out the coordinates of the turning point of y = x^2 + 2x - 13.
- 28th April 1969y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 64.
- 29th April 1969In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 30th April 1969The probability of winning a game is 3/4. A player expects 9 wins. How many games did they play?