This is Grade-6 mathematics. Shapes ㋐ and ㋑ are identical figures.
Q6 Find the ratio of the lengths of the corresponding sides.
① 1:2 ② 1:3 ③ 1: 4 ④ 1: 5
Q7 How do the sizes of the corresponding angles compare?
1. All the same
2. Same except for angle A
3. Same except for angle B
4. Same except for angles A and B
Q8 The 8-digit number 2□174938 is divisible by 11.
Select the correct digit to replace □ from the options below.
a 6 b 7 c 8 d 9
Q9
A set of numbers is said to be "closed" under a particular operation if, for any two elements in the set, the result of applying the operation to those elements is also an element of the set.
Which operations are natural numbers closed under? Choose the correct answer from 1–4.
1. The set of natural numbers is closed under addition and subtraction, but not under multiplication and division.
2. The set of natural numbers is closed under addition and multiplication, but not under subtraction and division.
3. The set of natural numbers is closed under addition and division, but not under subtraction and multiplication.
4. The set of natural numbers is not closed under any of the four operations: addition, subtraction, multiplication, or division.
Q10
The following statements are goals listed in the Course of Study for Elementary School.
Choose the correct combination of goals that apply to Grade 4, and answer with the corresponding symbol from 1 to 4.
1. To deepen understanding of division and be able to use it appropriately.
To deepen understanding of the meaning and representation of decimals and fractions.
To understand the meaning of addition and subtraction of decimals and fractions, and to be able to consider and use appropriate calculation methods.
In addition, to understand approximate numbers and use them appropriately for different purposes.
2. To deepen understanding of the properties of decimals.
To deepen understanding of the meaning of decimal multiplication and division, and of the addition and subtraction of fractions, and to be able to consider and apply appropriate calculation methods.
3. To develop understanding of plane figures, such as parallelograms and rhombuses, and solid figures, such as rectangular prisms, by analyzing their components and positional relationships.
4. To deepen understanding of plane figures, and to develop understanding of solid figures, such as prisms.
Q11 立方体を平面で切断したときその切り口に現れることがない図形として正しいものを次の1~4の中から一つ選んで記号で答えなさい。
りっぽうたいを へいめんで せつだん したときに きりくちに あらわれることがない ずけいとして ただしいものを つぎの1~4の なかから ひとつえらんで きごうで こたえなさい。
1 Equilateral triangle
2 Square
3 Regular pentagon
4 Regular hexagon
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