Checkpoint Mathematics 0845 — Practice Paper 1

Cambridge Primary Checkpoint Mathematics — Paper 1 style practice

Questions

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1 Write the missing numbers.

48 + = 100
720 + = 1000

Working: count up to the next whole number.

100 − 48 = 52.
1000 − 720 = 280.

Strand: Number — number bonds to 100 / 1000 (0845 P1 Q1)
LO: 6Nc4 — use place value and number facts to add or subtract.

2 Double 84.

Double 84 =

Working: Double means add the number to itself.
Double 80 = 160, double 4 = 8.
160 + 8 = 168

Answer: 168

Strand: Calculation — doubling (0845 P1 Q2)
LO: 6Nc9 — double a two-digit number.

3 Complete the calculations.

248 × 10 =
÷ 10 = 63

Working:

248 × 10 — ×10 shifts every digit one place left → 2480.
? ÷ 10 = 63 — undo the ÷10: 63 × 10 → 630.

Strand: Calculation — multiply/divide by 10 (0845 P1 Q3)
LO: 6Nn4 — multiply and divide whole numbers by 10.

4 In a calendar, 1st May is a Monday. Which day of the week is 22nd May?

Monday Sunday Tuesday Friday

Working: The same weekday repeats every 7 days. 1st, 8th, 15th and 22nd are each 7 days apart, so they are all Mondays.

Answer: Monday

Strand: Measure — time / calendars (0845 P1 Q4)
LO: 6Mt6 — use a calendar to calculate time intervals.

5 Find one quarter of 32.

1/4 of 32 =

Working: 'One quarter' means divide by 4.
32 ÷ 4 = 8

Answer: 8

Strand: Fractions — fraction of an amount (0845 P1 Q5 style)
LO: 6Nc21 — find fractions of quantities.

6 A rectangle is 6 cm long and 3 cm wide.

The perimeter of the rectangle is cm.

Working: Perimeter is the distance all the way round = add the four sides.
6 + 3 + 6 + 3 = 18, or 2 × (6 + 3) = 2 × 9 = 18 cm.

Answer: 18 cm

Strand: Geometry — perimeter (0845 P1 Q6)
LO: 6Ma1 — perimeter of a rectangle.

7 A piece of string 4 m 80 cm long is cut into two equal lengths.

Each piece is metres long.

Working: Change to the same unit: 4 m 80 cm = 480 cm.
Half of 480 cm = 480 ÷ 2 = 240 cm.
Change back to metres: 240 cm = 2.4 m.

Answer: 2.4 m

Strand: Measure — length conversions (0845 P1 Q7)
LO: 6Ml2 — convert between units of length.

8 A class records their favourite pet: dog, cat, dog, fish, dog, cat, dog. Which pet is the mode?

Dog Cat Fish Rabbit

Working: The mode is the value that appears most often. Count them: dog = 4, cat = 2, fish = 1. Dog appears most.

Answer: Dog

Strand: Statistics — mode (0845 P1 Q8)
LO: 6Dh2 — find the mode of a set of data.

9 Write in the missing number.

= 80 × 3

Working: Work out the right-hand side. 80 × 3 = 240, so the missing number is 240.

Answer: 240

Strand: Calculation — multiplication facts (0845 P1 Q9)
LO: 6Nc7 — use place value and multiplication facts to multiply mentally.

10 One bag of rice has a mass of 250 grams. How many bags are needed to make 2 kg?

Number of bags =

Working: Change to the same unit: 2 kg = 2000 g.
2000 ÷ 250 = 8 bags.

Answer: 8

Strand: Measure — mass, g/kg (0845 P1 Q10)
LO: 6Nc19 — divide in a measures context.

11 Round the number 4736.

4736 to the nearest hundred =
4736 to the nearest ten =

Working: look at the digit just after the place you are rounding to.

Nearest hundred — the tens digit is 3 (less than 5), so round down → 4700.
Nearest ten — the units digit is 6 (5 or more), so round up → 4740.

Strand: Number — rounding (0845 P1 Q12)
LO: 6Nn8 — round whole numbers to the nearest 10, 100 or 1000.

12 Complete this calculation.

5050 − = 60

Working: If 5050 − ? = 60, then ? = 5050 − 60 = 4990.

Answer: 4990

Strand: Calculation — inverse / missing number (0845 P1 Q13)
LO: 6Nc6 — subtract a near multiple and adjust; find a missing number by inverse.

13 A number is written on each shape. The number on the square is 4 more than the number on the triangle. The number on the circle is 4 more than the number on the square. The number on the circle is 17.

The number on the triangle is .

Working: Start from the circle and go backwards (subtract 4 each step).
Circle = 17 → square = 17 − 4 = 13 → triangle = 13 − 4 = 9.

Answer: 9

Strand: Number — reasoning with relationships (0845 P1 Q14)
LO: 6Ps2 — deduce new information from existing information.

14 What is the size of one angle in an equilateral triangle?

Each angle = degrees

Working: The angles in any triangle add up to 180°. An equilateral triangle has three equal angles, so 180 ÷ 3 = 60°.

Answer: 60°

Strand: Geometry — angles in triangles (0845 P1 Q16a)
LO: 6Gs6 — calculate angles in a triangle.

15 What is the name of a triangle with exactly two equal sides?

Isosceles Scalene Equilateral Right-angled

Working: An isosceles triangle has exactly two equal sides. (Equilateral has three equal sides; scalene has none equal.)

Answer: Isosceles

Strand: Geometry — triangle properties (0845 P1 Q16b)
LO: 6Gs1 — classify shapes by their properties.

16 Calculate.

5263 − 1988 =

Working: Subtract a round number, then adjust. 5263 − 2000 = 3263. We took away 12 too many, so add 12 back: 3263 + 12 = 3275.

Answer: 3275

Strand: Calculation — subtraction of 4-digit numbers (0845 P1 Q17)
LO: 6Nc6 — subtract by adjusting a near multiple.

17 Here is a number fact: 36 × 14 = 504. Use this fact to complete the calculations.

3.6 × 14 =
36 × 28 =

Working: build each answer from 36 × 14 = 504.

3.6 × 14 — 3.6 is 36 ÷ 10, so 504 ÷ 10 → 50.4.
36 × 28 — 28 is 14 × 2, so 504 × 2 → 1008.

Strand: Calculation — using known facts / scaling (0845 P1 Q18)
LO: 6Nc17 — use known facts to derive new multiplication facts.

18 Calculate.

40 × 700 =
0.4 × 7 =

Working:

40 × 700 — (4 × 7) × (10 × 100) = 28 × 1000 → 28000.
0.4 × 7 — 4 × 7 = 28, and 0.4 is ten times smaller → 2.8.

Strand: Calculation — multiplying with zeros and decimals (0845 P1 Q19)
LO: 6Nc14 — multiply pairs of multiples of 10 / place value.

19 What is the value of the digit 7 in the number 3.74?

7 tenths 7 units 7 hundredths 7 tens

Working: The first place to the right of the decimal point is the tenths place. In 3.74 the 7 sits there, so it is worth 7 tenths.

Answer: 7 tenths

Strand: Number — place value of decimals (0845 P1 Q20)
LO: 6Nn3 — place value in one- and two-place decimals.

20 The temperature in Oslo is −9 °C. The temperature in Cairo is 18 °C. What is the difference in temperature between the two cities?

Difference = °C

Working: Count up through zero. From −9 °C up to 0 °C is 9 degrees; from 0 °C up to 18 °C is 18 degrees. 9 + 18 = 27 °C.

Answer: 27 °C

Strand: Number — negative numbers (0845 P1 Q24)
LO: 6Nc13 — find the difference between a positive and a negative integer.

21 Put these decimals in order, starting with the smallest.

Drag items to reorder. Arrange the 5 items in the correct sequence.

0.32
0.09
1.05
0.3
0.7

Working: Compare the tenths first. 0.09 has 0 tenths (smallest). 0.3 and 0.32 both have 3 tenths — 0.30 is less than 0.32. Then 0.7 has 7 tenths. 1.05 is more than 1, so it is the largest.

Order: 0.09, 0.3, 0.32, 0.7, 1.05

Strand: Number — ordering decimals
LO: 6Nn14 — order numbers with up to two decimal places.

22 Drag each number to show what it rounds to, to the nearest 100.

Drag each item into the correct category. Place all 3 items into the 3 categories below.

Rounds to 200

Rounds to 400

Rounds to 600

162

380

610

Working: Look at the tens digit to decide up or down. 162 → 6 is 5 or more → 200. 380 → 8 is 5 or more → 400. 610 → 1 is less than 5 → 600.

Strand: Number — rounding to the nearest 100
LO: 6Nn8 — round whole numbers to the nearest 100.

23 A spinner has 8 equal sections: four sections show 3, one section shows 2, and three sections show 1. Jon says, “The number 2 is the least likely to come up.” Explain why Jon is correct.

A spinner has 8 equal sections: four sections show 3, one section shows 2, and three sections show 1. Jon says, “The number 2 is the least likely to come up.” Explain why Jon is correct.

Marks: 1 points

Working / model answer: Count how many sections show each number: 3 appears on 4 sections, 1 appears on 3 sections, but 2 appears on only 1 section. Because 2 is on the fewest sections (a chance of just 1 out of 8), it is the least likely to come up.

Strand: Statistics — probability / likelihood (0845 P1 Q23b). Open reasoning item: keyword auto-graded, full working shown.
LO: 6Db1 — use the language of probability to assess likelihood.

24 Ami says, “When you add two square numbers, the answer is always even.” Ami is wrong. Write two square numbers that add up to an ODD number, and give their total.

Marks: 1 points

Working / model answer: One example is enough to show Ami is wrong. Take 1 (which is 1×1) and 4 (which is 2×2): 1 + 4 = 5, which is odd. (Adding one odd square and one even square always gives an odd total — you must show the calculation.)

Strand: Number — square numbers / reasoning (0845 P1 Q26). Open item: keyword auto-graded, full working shown.
LO: 6Nn18 — make general statements about sums of odd and even numbers.

Checkpoint Mathematics 0845 — Practice Paper 1

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