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Diagnostic

Math Diagnostic Test: Place Value and Number Sense

TypeDiagnostic
GradeYear 5
SubjectMath
Duration55 min
Questions11
Rating★ 5

About this preparation

Хочу зробити діагностичний тест з математики для учня 5 класу на 55 хвилин, середньої складності. Потрібно включити запитання на place value.

Reid Rachel
Preparation author

Diagnostic tasks

Below is the full list of tasks with correct answers and explanations. In a lesson the tutor can hide the answers and reveal them after the student tries.

1
What is the value of the digit 7 in the number 47,382?
7
70
700
7,000
Explanation: The digit 7 is in the thousands place, so its value is 7,000.
2
Which number has a 5 in the hundreds place?
4,582
3,154
7,506
9,045
Explanation: In 7,506, the digit 5 is in the hundreds place.
3
Which number is greatest?
58,214
58,124
57,942
58,204
Explanation: 58,214 is greatest because it has the largest value in the hundreds and tens places among the choices.
4
Round 6,478 to the nearest hundred.
6,400
6,450
6,500
6,480
Explanation: The tens digit is 7, so round the hundreds place up to 6,500.
5
Which numbers are written in expanded form correctly?
3,405 = 3,000 + 400 + 5
8,216 = 8,000 + 200 + 10 + 6
5,070 = 5,000 + 70
4,509 = 4,000 + 500 + 90
Explanation: Expanded form shows the value of each digit. Options a, b, and c are correct.
6
What is the value of the digit 3 in 63,901?
3
30
300
3,000
Explanation: The digit 3 is in the thousands place, so its value is 3,000.
7
Which number is closest to 10,000?
9,850
8,950
10,900
11,200
Explanation: 9,850 is only 150 away from 10,000, which is closer than the other choices.
8
Which statements are true?
In 52,614, the digit 2 is in the thousands place.
In 52,614, the digit 6 is in the hundreds place.
In 52,614, the digit 5 is in the ten-thousands place.
In 52,614, the digit 1 is in the thousands place.
Explanation: Read the digits from left to right: ten-thousands, thousands, hundreds, tens, ones.
9
What is 4,000 + 300 + 20 + 8 written as a standard number?
4,328
4,302
4,230
4,038
Explanation: Combine the place values: 4,000 + 300 + 20 + 8 = 4,328.
10
A number has 9 in the ten-thousands place, 0 in the thousands place, 4 in the hundreds place, 7 in the tens place, and 2 in the ones place. What is the number?
90,472
94,072
90,247
94,702
Explanation: Place the digits in order from ten-thousands to ones: 90,472.
11
Which digit should replace the box to make 8,4□6 a number with 5 in the tens place?
0
5
6
8
Explanation: The tens place is the second digit from the right, so it must be 5.

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Frequently asked questions

A diagnostic helps the tutor see the child's real level in 30–40 minutes: which topics are mastered and where the gaps are. Based on the result, the teacher builds an individual plan instead of working blind.

Yes, you can view all tasks and answers on this page. But the diagnostic is most useful in a lesson with a tutor who explains mistakes right away and adjusts the plan.

Roughly 30–40 minutes depending on the number of tasks and the child's pace. It is a full first lesson.