ITMC 2026 Grade 4 National Preliminary sample-r1

The first whole number is “two thousand, five hundred and sixty-two”; the second is “two thousand and nineteen”. Find their sum.

Year 2026 assigned because the source does not state an exam year.

Printed positive marks are preserved per question. The source uses different blank-answer and incorrect-answer rules by section, including an optional bonus penalty; the import does not reproduce that complete official scoring scheme.

Given $3a=2019 $ and $2\times b\times3=2562 $, find $ a+b $.

Which expression has a value nearest to 2019?

The rectangular field $ PQRS $ shown has width 5 metres and length 10 metres. What is its area in square metres?

The sides of the quadrilateral shown measure 5.78 m, 5.57 m, 7.65 m and 3.18 m. Let its correctly calculated perimeter be $ p $ metres in decimal form. Find the second digit after the decimal point in $ p $.

$ ABCD $ is a square and $ E $ is the intersection of its diagonals. If $ AE=12\frac12 $ cm, find the sum of the lengths of both diagonals.

Which number is divisible by 7?

A square number is the product of a positive integer with itself: $1\times1=1,2\times2=4,3\times3=9,4\times4=16,5\times5=25,\ldots $. Thus 1, 4, 9, 16, 25, …are square numbers. What is the greatest three-digit square number less than 400?

Consider the sequence 175, 182, 189, 196, … . Which number is not in this sequence?

How many integers between 2019 and 2562 have the same hundreds digit and units digit?

Each day from Monday to Friday, a boy receives 5 dollars from his father. Every day he saves 3 dollars to buy a toy costing 60 dollars. The source says he starts saving on “10th Monday in July”. On what date in that year can he first afford the toy?

The bar chart surveys favourite sports of 300 Grade 4 pupils: table tennis 80, football 120, swimming 60, sepak takraw 40. Let $ a $ be the number who like table tennis and $ b $ the number who like swimming. Find $ a/b $.

Find $2\frac{19}{1000}+1\frac{562}{2000}$.

The figure consists of 20 equal small squares. How many must be coloured so that the coloured area is $\frac45 $ of $\frac38 $ of the whole figure?

Let $ N=11\frac35+12\frac45-13\frac25 $. Which statement is true?

Join the midpoints of $ AB,BC,AD $ in rectangle $ ABCD $ to form the shaded triangle. Its area is 156 square centimetres. What is the area of the rectangle?

In parallelogram $ ABCD $, angle $ BCD=124^\circ $. Find angle $ DAB $.

Consider: (1) A triangle has 3 diagonals. (2) A quadrilateral has 4 diagonals. (3) A pentagon has 3 more diagonals than a triangle. (4) The two diagonals of a rectangle have equal lengths. How many statements are true?

For example, three consecutive integers 5, 6, 7 have sum 18. Three consecutive integers have sum 2019. What is the largest of them?

Form four-digit numbers using the digits 2, 0, 1, 9 exactly once each. List all such numbers in increasing order. What is the position of 9102?