単科英語検定サンプル問題小学校算数

Single Subject: Elementary school Mathematics

Sample Questions

 

Q1　

The ratio of the money that Taro and Hanako had at the beginning was 3:2. After Taro gave Hanako 300 yen, the ratio of their money became 5:4. How much money did Taro have at the beginning? Choose one option from a to d and answer with its corresponding letter.

 

a. 4,050 yen 　　

b. 5,380 yen 　　

c. 6,580 yen 　　

d. 7,930 yen　　

 

Q2

The 8-digit integer 2□174938 is said to be divisible by 11. In this case, answer with a symbol by selecting the correct digit to replace □ from the following options.

 

A　6　 　

b　7 　 　

c　8 　　

d　9　　　　　　　　　　

 

Q3

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.
From the following statements about operations on the set of natural numbers, choose the correct one and answer with its corresponding symbol from a to d.

 

a. The set of natural numbers is closed under addition and subtraction, but not under multiplication and division.

b. The set of natural numbers is closed under addition and multiplication, but not under subtraction and division.

c. The set of natural numbers is closed under addition and division, but not under subtraction and multiplication.

d. The set of natural numbers is not closed under any of the four operations: addition, subtraction, multiplication, or division.

　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　

 

Q4

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.

 

Q5

Answer the following question regarding the teaching of “Addition and Subtraction of Decimals.”

 

In learning the addition and subtraction of decimals — particularly in learning vertical (column) calculation —what kinds of errors might students make?
Explain using the example: 3.1 + 2.45.

　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　　

Q1	Q2	Q3	Q4	Q５
a	c	b	(1)

小学校理科　サンプル問題

Sample Tests in Science for ALTs

Q1　

Among the following statements (1) to (4) about the properties of substances, how many are incorrect? Choose one answer from a to d and respond with the corresponding symbol.

 

(1) All halogens are toxic gases at room temperature.

(2) All metal complexes are colored, and none are colorless.

(3) Among two kinds of substances, the boiling point of the substance with the larger molecular weight is always higher.

(4) Methane, which is abundantly contained in natural gas, is colorless and odorless.

 

(a) All are correct.

(b) One.

(c) Two.

(d) Three.

　　　　　　　　　　　　　　　　　　　　　　　　　　　

Q2 　

Choose one incorrect statement about the relationship between mammalian teeth and their diet from the following a to d, and answer with the corresponding symbol.

(a) A lion’s back teeth are shaped like molars for crushing meat and bone.
(b) A horse has front teeth in both its upper and lower jaws.
(c) A horse grinds grass into small pieces by moving its upper and lower back teeth from sid

  to side.
(d) Humans are omnivorous mammals that eat both meat and plants, and their back teeth are

 shaped like molars.

 

Q3

In relation to the experiment described in “Use of Electricity,” where a hand-cranked generator is connected to a capacitor, the generator is turned to store electricity in the capacitor, and the stored capacitor is then connected to a miniature light bulb and a light-emitting diode to compare the time it takes for the light bulb and the LED to light up, choose the item that is not appropriate from the following a to d and answer with the corresponding symbol.

(a) A capacitor has a negative terminal and a positive terminal.
(b) A light-emitting diode (LED) has a negative terminal and a positive terminal.
(c) When storing electricity in a capacitor, the magnitude of the voltage stored in the capacitor may change depending on the number of times the hand-crank of the generator is turned.

(d) When storing electricity in a capacitor, the magnitude of the voltage stored does not change depending on the speed at which the hand-crank of the generator is turned.

 

 

Q4 　

The following passage is part of the description in "Chapter 3: Goals and Contents of Each Grade, Section 2, Grade 4, Content A, Substance and Energy (3) Function of Electricity (J)" from the "Commentary on the Courses of Study for Elementary Schools" Choose the correct combination of words A and B in the sentence and answer with the corresponding symbol.

In this section, through activities that foster students' interest in the function of electricity, they will learn how to connect dry cell batteries and how to relate A to B. The goal is to develop the ability to connect dry cell batteries, relate A to B, and deepen their understanding of the function of electricity.

 

	A	B
a	Intensity of light shining on the photocell	Strength of the current flowing through the circuit
b	Intensity of light shining on the photocell	Magnitude of the voltage across the circuit
c	Strength of the electromagnet	Strength of the current flowing through the circuit
d	Strength of the electromagnet	Magnitude of the voltage across the circuit

 

Q5

When a plant burns, oxygen in the air is used, and carbon dioxide is produced.
(1) Describe what “air” is in 100 characters or fewer.
(2) You want students to understand that when a plant burns, it consumes oxygen from the air and produces carbon dioxide. What kind of experiment would allow them to investigate this? Describe the experimental method in 100 characters or fewer.

 

Q6 (サンプル問題)

　

イオン結合でできた物質に関する記述として誤っているものを次のア～エの中から一つ選んで記号で答えなさい。

 

ア 炭酸水素ナトリウムは熱分解して二酸化炭素を発生するので消火剤として用いられる。

イ 硫酸バリウムは水や酸に不溶でX線の吸収能力が小さいのでX線診断の造影剤として用いられる。

ウ 固体の硝酸ナトリウムは電気伝導性がないが，加熱溶融すると電気を通すようになる。

エ 炭酸カルシウムは貝殻や石灰石の主成分として自然界に多く存在していて，板書用のチョークにも使われる。

 

Q1	Q2	Q3	Q4	Q５	Q6
d	a	d	a		イ