VTMO 2026 - Grade 3 - Final - SET 4 - Self-study

Which option shows the mirror reflection of the figure?

A teacher buys notebooks as gifts for her students. Each gift contains 15 notebooks. She makes 12 gifts and has 10 notebooks left. How many notebooks did she buy?

Which sheet of cardboard cannot be folded into the cube shown?

Hân has ten 1000-đồng notes, five 2000-đồng notes and two 5000-đồng notes. In how many ways can she select notes totalling 10000 đồng? Notes of the same denomination are treated alike.

Find $B-A$, where $A=1+4+7+10+13+16+19+22+25+28+31$ and $B=2+5+8+11+14+17+20+23+26+29+32$.

A diagonal of a 4-by-3 rectangle passes through 6 unit squares. How many unit squares does a diagonal of an 8-by-6 rectangle pass through? A square is counted when the diagonal passes through its interior.

The digits of 2017 sum to $2+0+1+7=10$. From 2000 through 2100, how many years have digit sum 10?

A month has five Sundays. Neither its first day nor its last day is Sunday. What day of the week is the 20th?

Calculate $A=2024-(1+2+3+4+5+6+7+8+9)÷9×401$.

There are 28 birds on two branches. Four birds fly from the first branch to the second. Later, seven fly from the second to the first, leaving equal numbers on the branches. How many birds were originally on the first branch?

Find the two-digit number whose digits sum to 13 and which increases by 9 when its digits are reversed.

An uses equilateral triangles of side 1 cm to make the first sequence of larger triangles. Bình uses squares of side 1 cm to make the second sequence of larger squares. Each sequence begins with 1, 4, 9 and 16 small pieces, as shown.





Each child chooses one shape from their sequence. The sum of the two perimeters is 50 cm. What is the greatest possible number of small triangles in An’s shape?

An has three clocks A, B and C. A gains 30 seconds per hour compared with B. B loses 30 seconds per hour compared with C. Both comparisons use the same elapsed hour. All three are reset to 8 a.m. When C reads noon, what time does A show?

The row shown contains 76 triangles in total. How many are shaded?

Thanh has one 50-xu coin, one 20-xu coin, one 10-xu coin and one 5-xu coin. After losing one coin, she finds that her remaining money is twice her younger brother’s money. Which coin did she lose?

Nam places 1,2,3,4,5,6,7,8 in the eight small circles, using each once. The sum around each large circle is 22. He multiplies the two numbers in the positions marked ?. What is the greatest product he can obtain?

Nam writes six positive integers. The positive differences obtained from all pairs of these numbers are all different. What is the smallest possible sum of the six numbers?

The sum of Father’s and Mother’s ages is 74. The sum of Mother’s and An’s ages is 43. The sum of Father’s and An’s ages is 49.

a) How many years older is Father than Mother?

b) Find each person’s age.

A teacher has enough sweets to share equally among 8 pupils. Four new pupils join. Sharing the same sweets equally among everyone now gives each pupil 2 fewer sweets than planned. How many sweets does the teacher have?

Nam starts on position 0 in the row of seven positions numbered 0 to 6. Each move is one position forwards or backwards, and he may not leave the row. In how many ways can he reach 6 for the first time on his eighth move?