Daily Practice · Higher
April 2000 - Higher 5-a-day
Every Higher sheet published in April 2000, with answers. Grades 6-7 - Higher-tier method and manipulation.
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The batch download puts all 5 tiers' April 2000 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in April 2000
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st April 2000Work out 36^(3/2).
- 2nd April 2000Factorise x^2 - 36.
- 3rd April 2000A price rises by 10% and then falls by 20%. Work out the overall percentage change, to 2 decimal places.
- 4th April 2000A right-angled triangle has sides 9 cm, 40 cm and 41 cm. Work out the angle opposite the 9 cm side, to 1 decimal place.
- 5th April 200011 students study Spanish and 6 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 6th April 2000A histogram class is 20 units wide and contains 30 values. Work out the frequency density.
- 7th April 2000Write sqrt(18) in the form a sqrt(b), where b is as small as possible.
- 8th April 2000A region is defined by y < 5x + 9. Should the boundary line be solid or dashed, and why?
- 9th April 2000y is inversely proportional to x. When x = 5, y = 30. Work out y when x = 6.
- 10th April 2000The point (-3, -1) is enlarged by scale factor -2 about the centre (4, -4). Write down the coordinates of the image.
- 11th April 20002 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 12th April 2000Four classes in order have frequencies 5, 3, 10, 4. Write down the cumulative frequency at the end of the third class.
- 13th April 2000A meal deal has 4 mains, 7 sides and 5 drinks. How many different meals are possible?
- 14th April 2000Factorise x^2 - 11x + 18.
- 15th April 2000y is directly proportional to x^2. When x = 6, y = 216. Work out y when x = 2.
- 16th April 2000Two similar solids have lengths in the ratio 1 : 4. The larger has a volume of 2048 cm^3. Work out the volume of the smaller.
- 17th April 200020 students study Spanish and 3 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 18th April 200040 voles are marked and released. Later 50 are caught, of which 5 are marked. Estimate the population.
- 19th April 2000A mass is 70 kg, correct to the nearest 10. Write down the upper bound.
- 20th April 2000Work out the equation of the line parallel to y = 2x + 3 that passes through (2, 6).
- 21st April 2000y is directly proportional to x. When x = 2, y = 20. Work out y when x = 14.
- 22nd April 2000A right-angled triangle has a hypotenuse of 41 cm and one shorter side of 40 cm. Work out the other shorter side.
- 23rd April 20004 of 6 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
- 24th April 2000A cumulative frequency graph is drawn for 136 values. What cumulative frequency do you read across from to estimate the lower quartile?
- 25th April 2000Write 7^-1 as a fraction.
- 26th April 2000A line has equation y = 2x + 4. Work out the gradient of any line perpendicular to it.
- 27th April 2000A town's population is 4500 and grows by 8% each year. Work out the population after 6 years, to the nearest whole number.
- 28th April 2000ABCD is a cyclic quadrilateral. Angle ABC is 93°. Work out angle ADC.
- 29th April 200020 students study Spanish and 11 of those also study Art. One Spanish student is picked at random. Work out the probability they study Art.
- 30th April 2000A box plot has a minimum of 18 and a maximum of 75. Work out the range.