Diagnostic

Year 6 Maths Diagnostic Test: SATs-Style SPaG and Number

TypeDiagnostic
GradeYear 6
SubjectMath
Duration55 min
Questions11
Rating★ 5

About this preparation

I want to create a diagnostic test in math for a Year 6 student, medium difficulty, for 55 minutes. The test should be at Year 6 SATs level and include SPaG-style questions.

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
Which number is equal to 7,040?
7 thousands, 4 hundreds
7 thousands, 4 tens
7 thousands, 40 ones
70 hundreds, 4 ones
Explanation: 7,040 is made of 7 thousands and 4 tens, which is the same as 7 thousands and 40 ones.
2
What is 6,482 rounded to the nearest hundred?
6,400
6,500
6,480
6,600
Explanation: The tens digit is 8, so the number rounds up to 6,500.
3
Calculate 4,356 + 2,789.
7,045
7,135
7,145
7,245
Explanation: Adding the numbers gives 7,145.
4
A ribbon is 3.6 m long. How many centimetres is this?
36 cm
360 cm
3,600 cm
0.36 cm
Explanation: 1 m = 100 cm, so 3.6 m = 360 cm.
5
Which of these statements about the word 'their' are true?
It is a possessive pronoun.
It shows ownership.
It is a contraction of 'they are'.
It is used to compare two things.
Explanation: 'Their' shows possession and is a possessive pronoun.
6
What is 3/4 of 20?
10
12
15
18
Explanation: 3/4 of 20 is 20 ÷ 4 × 3 = 15.
7
A rectangle has a length of 8 cm and a width of 5 cm. What is its perimeter?
13 cm
26 cm
40 cm
20 cm
Explanation: Perimeter = 8 + 5 + 8 + 5 = 26 cm.
8
Which word class is the word 'quickly' in the sentence: 'She ran quickly to the gate.'?
Adjective
Adverb
Noun
Verb
Explanation: 'Quickly' describes how she ran, so it is an adverb.
9
Solve: 5x = 35. What is the value of x?
5
6
7
8
Explanation: Divide both sides by 5: x = 35 ÷ 5 = 7.
10
Which of these are prime numbers?
2
9
11
15
Explanation: 2 and 11 are prime numbers because they have exactly two factors: 1 and themselves.
11
Choose the sentence with the correct punctuation.
Where are you going
Where are you going?
Where, are you going.
Where are you going!
Explanation: A question sentence should end with a question mark.

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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.