Daily Practice · Higher Plus
April 1976 5-a-day
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The batch download puts all 5 tiers' April 1976 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 1976
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 1976Simplify sqrt(12) + sqrt(108), giving your answer in the form a sqrt(b).
- 2nd April 1976A quadratic sequence starts 6, 10, 18, 30. Work out the second difference, and the coefficient of n^2.
- 3rd April 1976y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
- 4th April 1976A cuboid measures 5 cm by 15 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 5th April 1976A bag holds 5 red and 3 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 6th April 1976On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 7th April 1976A rectangle is 28 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 8th April 1976Solve x^2 - 8x + 7 < 0.
- 9th April 1976y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 10th April 1976A cuboid measures 13 cm by 9 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 11th April 1976A bag holds 4 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 12th April 1976A histogram has two bars: one 5 units wide with frequency density 2, one 20 units wide with density 0.6. How many values in total?
- 13th April 1976Expand and simplify (6 + sqrt(11))(6 - sqrt(11)).
- 14th April 1976Write x^2 + 14x + 8 in the form (x + a)^2 + b.
- 15th April 1976y is directly proportional to sqrt(x). When x = 25, y = 35. Work out y when x = 81.
- 16th April 1976The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.
- 17th April 1976A bag holds 9 counters, r of them red. Two are taken without replacement and P(both red) = 1/12. Work out r.
- 18th April 1976On 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?
- 19th April 1976A block has mass 730 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 20th April 1976Work out the coordinates of the turning point of y = x^2 - 10x - 11.
- 21st April 1976A train slows steadily from 15 m/s to rest in 5 seconds. Work out its deceleration.
- 22nd April 1976In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 23rd April 1976The probability of winning a game is 1/5. A player expects 6 wins. How many games did they play?
- 24th April 1976A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
- 25th April 1976x = 75 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 26th April 1976Simplify (x^2 - 7x + 12)/(x - 3).
- 27th April 1976y is inversely proportional to x^2. When x = 4, y = 8. Work out y when x = 2.
- 28th April 1976In a vector proof you find that vector PQ = 4a + b and vector RS = 8a + 2b. What does this show about PQ and RS?
- 29th April 1976A bag holds 2 red and n blue counters. The probability of taking a red is 1/3. Work out n.
- 30th April 1976On 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?