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Attnom Academy assessment paper, Level 3

Mathematics, about class 7

  • Time: 60 minutes
  • 40 marks
  • 23 questions

This paper tests only the chapters below. Read them first. Each question names its chapter in the mark scheme, so a lost mark tells you what to read again.

Name: ______________________________ Date: ______________

Section A. Quick recall (12 marks)

Tick one answer for each question. Each question is worth 1 mark.

Question 11 mark

A red light flashes every 10 seconds. A green light flashes every 15 seconds. They flash together now. After how many seconds do they next flash together?

  1. A25 seconds
  2. B30 seconds
  3. C150 seconds
  4. D5 seconds

Question 21 mark

A lock code has three digits. The first two digits are 6 and 8. The whole number must be divisible by 9. What must the last digit be?

  1. A0
  2. B7
  3. C4
  4. D9

Question 31 mark

A farmer has 4 307 eggs. Each box holds 6 eggs. How many full boxes can she fill?

  1. A717 boxes
  2. B718 boxes
  3. C5 boxes
  4. D711 boxes

Question 41 mark

Four runners finish a race in 12.4, 12.04, 12.41 and 12.14 seconds. Which time is the fastest?

  1. A12.4 seconds
  2. B12.41 seconds
  3. C12.14 seconds
  4. D12.04 seconds

Question 51 mark

One sheet of card is 0.09 cm thick. A pile has 100 sheets. How tall is the pile?

  1. A0.0009 cm
  2. B0.9 cm
  3. C9 cm
  4. D90 cm

Question 61 mark

A roof frame is an isosceles triangle. Its two equal angles are both 50°. How big is the angle at the top?

  1. A130°
  2. B65°
  3. C100°
  4. D80°

Question 71 mark

A designer cuts a tile in the shape of a regular polygon. It has 10 sides. How big is one angle of the tile?

  1. A144°
  2. B1 440°
  3. C36°
  4. D108°

Question 81 mark

A floor mat measures 3 m by 2 m. Find its area in square centimetres.

  1. A6 000 cm²
  2. B60 000 cm²
  3. C600 cm²
  4. D6 cm²

Question 91 mark

The mean of 5 scores is 14. Four of the scores are 12, 15, 9 and 18. What is the fifth score?

  1. A16
  2. B14
  3. C70
  4. D54

Question 101 mark

A bar chart of rainfall starts its scale at 60 mm, not at 0. The April bar reaches 80 mm and the March bar reaches 64 mm. The April bar looks 5 times as tall. Which is true?

  1. AApril had 5 times as much rain as March.
  2. BApril had 16 mm more rain than March.
  3. CApril had 20 mm of rain.
  4. DMarch had 4 mm of rain.

Question 111 mark

Simplify 7p + 3q − 2p + 4q.

  1. A9p + 7q
  2. B12pq
  3. C5p + 12q
  4. D5p + 7q

Question 121 mark

Each box holds x pens and 4 pencils. The total in 5 boxes is 5(x + 4). Multiply out the bracket.

  1. A5x + 4
  2. Bx + 20
  3. C5x + 20
  4. D9x

Section B. Worked problems (21 marks)

Show your working. Write the answer with its unit. The marks for each question are shown beside it.

Question 132 marks

Zoe writes down every prime number between 60 and 80. How many does she write?

Question 142 marks

A school buys 63 boxes of pencils. Each box holds 148 pencils. How many pencils is that?

Question 153 marks

A farm picks 8 540 mangoes. They are packed 36 to a crate. All the full crates are filled first. How many mangoes are left over?

Question 162 marks

A ribbon is 5/6 of a metre long. It is cut into pieces that are each 1/12 of a metre long. How many pieces are there?

Question 172 marks

A farmer shares 96 litres of water between two tanks in the ratio 5 : 3. How much water goes into the larger tank?

Question 182 marks

Imran draws a triangle with a ruler and compasses. Two sides are 7 cm and 4 cm. The third side is a whole number of centimetres. What is the shortest it can be, so that it makes a triangle?

Question 192 marks

A window pane is shaped like a parallelogram. The base is 18 cm and the slanted side is 12 cm. The height is 9 cm. Find the area of the pane.

Question 202 marks

Two runners each train on five days. Runner A takes 21, 23, 22, 24 and 22 minutes to run the same route. Runner B takes 20, 26, 21, 31 and 22 minutes. How much bigger is the range of B than the range of A?

Question 212 marks

Mia thinks of a number, x. She divides it by 5 and gets 8. Solve x ÷ 5 = 8 to find her number.

Question 222 marks

A point (6, k) lies on the line y = 3x − 5. Find the number k.

Section C. A longer question (7 marks)

Each part uses what you found before. Show your working.

Question 237 marks

A school vegetable plot is drawn on a grid. Its corners are at (0, 0), (8, 0), (6, 4) and (0, 4). Each square of the grid is 2 m long.

(a)The bottom and the top of the plot are parallel. What is the area of the plot? [2 marks]

(b)Compost is spread over the soil at a steady rate. 10 square metres need 20 kg, and 24 square metres need 48 kg. How much compost does the whole plot need? [2 marks]

(c)On the same grid, a hose runs along the line y = 2. A pipe runs along the line y = x − 1. Where do the hose and the pipe cross? [1 mark]

(d)Rosa reflects the plot in the y axis. She says the corner (6, 4) moves to (6, −4). Is she right? Explain why. [2 marks]

For the marker. Mathematics, about class 7

Mark scheme

One line is one mark. A right final answer with no working gets every mark for that part. Lost marks? Read the chapter named under the part.

Question 11 mark

Answer: B. 30 seconds

  1. Multiples of 10: 10, 20, 30. Multiples of 15: 15, 30. The first number in both lists is 30, so 30 seconds.

Tests M3.1.3 Multiples and factors

Question 21 mark

Answer: C. 4

  1. 6 + 8 = 14, and the next digit sum in the 9 times table is 18, so the last digit is 18 − 14 = 4.

Tests M3.1.4 Quick tests for dividing

Question 31 mark

Answer: A. 717 boxes

  1. 6 × 717 = 4 302, and 4 307 − 4 302 = 5 left over, so 717 full boxes.

Tests M3.2.4 Short division

Question 41 mark

Answer: D. 12.04 seconds

  1. All four times have 12 whole seconds. Compare the tenths: 12.04 has 0 tenths, and the others have 4, 4 and 1. So 12.04 seconds is the smallest, the fastest.

Tests M3.3.4 Tenths, hundredths and thousandths

Question 51 mark

Answer: C. 9 cm

  1. Multiplying by 100 moves each digit two places to the left: 0.09 × 100 = 9 cm.

Tests M3.3.5 Adding and taking away decimals

Question 61 mark

Answer: D. 80°

  1. The three angles add to 180°. 50° + 50° = 100°, and 180° − 100° = 80°.

Tests M3.5.3 Triangles

Question 71 mark

Answer: A. 144°

  1. The angle sum is (10 − 2) × 180° = 1 440°. Each angle is 1 440° ÷ 10 = 144°.

Tests M3.5.4 Angles in polygons

Question 81 mark

Answer: B. 60 000 cm²

  1. 3 × 2 = 6 m², and 1 m² = 10 000 cm², so 6 × 10 000 = 60 000 cm².

Tests M3.6.3 Area of rectangles

Question 91 mark

Answer: A. 16

  1. The total is 5 × 14 = 70. The four known scores add to 12 + 15 + 9 + 18 = 54, so the fifth is 70 − 54 = 16.

Tests M3.7.3 Mean, median and mode

Question 101 mark

Answer: B. April had 16 mm more rain than March.

  1. Read the scale, not the bar lengths: 80 − 64 = 16 mm more rain in April.

Tests M3.7.5 Line graphs and honest charts

Question 111 mark

Answer: D. 5p + 7q

  1. The p terms: 7p − 2p = 5p. The q terms: 3q + 4q = 7q. So 5p + 7q.

Tests M3.8.3 Collecting like terms

Question 121 mark

Answer: C. 5x + 20

  1. 5 × x = 5x and 5 × 4 = 20, so 5x + 20.

Tests M3.8.4 Brackets

Question 132 marks

Answer: 5 primes

  1. Cross out the multiples of 2, 3, 5 and 7. The numbers left are 61, 67, 71, 73 and 79.
  2. That is 5 primes.

Tests M3.1.5 Prime numbers

Question 142 marks

Answer: 9 324 pencils

  1. Ones row: 148 × 3 = 444. Tens row: 148 × 60 = 8 880 (a 0 holds the ones place).
  2. Add the rows: 444 + 8 880 = 9 324 pencils.

Tests M3.2.3 Long multiplication

Question 153 marks

Answer: 8 mangoes

  1. Start with 85. 36 × 2 = 72, and 85 − 72 = 13. Bring down the 4 to make 134. 36 × 3 = 108, and 134 − 108 = 26.
  2. Bring down the 0 to make 260. 36 × 7 = 252, and 260 − 252 = 8.
  3. So 237 full crates are packed, and 8 mangoes are left over.

Tests M3.2.5 Long division

Question 162 marks

Answer: 10 pieces

  1. Dividing by 1/12 is the same as multiplying by 12, so work out 5/6 × 12.
  2. 5/6 × 12 = 10 pieces.

Tests M3.3.3 Multiplying and dividing fractions

Question 172 marks

Answer: 60 litres

  1. 5 + 3 = 8 parts, so one part is 96 ÷ 8 = 12 litres.
  2. The larger tank has 5 parts: 5 × 12 = 60 litres.

Tests M3.4.3 Sharing in a ratio

Question 182 marks

Answer: 4 cm

  1. The two shorter sides together must be longer than the longest side. The third side plus 4 must be more than 7, so it is more than 3 cm.
  2. The shortest whole number of centimetres is 4 cm.

Tests M3.5.5 Drawing with ruler and compasses

Question 192 marks

Answer: 162 cm²

  1. The area of a parallelogram is base × height. The slanted side is not used.
  2. 18 × 9 = 162 cm².

Tests M3.6.4 Area of triangles and parallelograms

Question 202 marks

Answer: 8 minutes

  1. Range of A: 24 − 21 = 3. Range of B: 31 − 20 = 11.
  2. B is more spread out. The ranges differ by 11 − 3 = 8 minutes.

Tests M3.7.4 Comparing two groups

Question 212 marks

Answer: 40

  1. Dividing by 5 is undone by multiplying by 5, so multiply both sides by 5.
  2. x = 8 × 5 = 40.

Tests M3.8.5 Solving equations in one step

Question 222 marks

Answer: 13

  1. Put x = 6 into the rule: y = 3 × 6 − 5.
  2. k = 18 − 5 = 13.

Tests M3.9.4 From a rule to a line

Question 237 marks

(a)Answer: 112 m²

  1. Read the sides from the grid: 8 squares and 6 squares are 16 m and 12 m, and the height is 4 squares, or 8 m.
  2. Area = (16 + 12) ÷ 2 × 8 = 14 × 8 = 112 m².

Tests M3.6.5 Trapeziums and joined shapes

(b)Answer: 224 kg

  1. The plot is 112 square metres. Each square metre needs 20 ÷ 10 = 2 kg, and 48 ÷ 24 gives the same, so the amounts are in direct proportion.
  2. The whole plot needs 112 × 2 = 224 kg.

Tests M3.4.5 Direct proportion

(c)Answer: (3, 2)

  1. The hose is the flat line y = 2, so 2 = x − 1 and x = 3. They cross at (3, 2).

Tests M3.9.5 Lines like x = 3 and y = −2

(d)Answer: No. A reflection in the y axis changes only the sign of the across number. The corner goes to (−6, 4), not (6, −4).

  1. Says No, because a reflection in the y axis changes only the sign of the across number.
  2. Gives the right image, (−6, 4).

Tests M3.9.3 Shapes on a grid

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