High School

1. A bus covered 20km 60m while a car covered 25km 30m. What was the total distance they both covered?

A. 45km 90m
B. 40km 80m
C. 45km 95m
D. 90km 45m

2. John drew an angle shown below. What is the name of the angle?

A. Acute angle
B. Right angle
C. Reflex angle
D. Obtuse angle

3. A farmer harvested 20 bags of maize, 18 bags of beans and y bags of carrots. If the total number of bags was 60, how many more bags of carrots were there than bags of maize?

A. 22
B. 20
C. 2
D. 42

4. The fractions \(\frac{3}{10}\), \(\frac{7}{10}\), \(\frac{5}{10}\) and \(\frac{9}{10}\) were arranged in ascending order. Which one of the following would be the correct arrangement?

A. \(\frac{9}{10}\), \(\frac{7}{10}\), \(\frac{5}{10}\), \(\frac{3}{10}\)
B. \(\frac{3}{10}\), \(\frac{5}{10}\), \(\frac{7}{10}\), \(\frac{9}{10}\)
C. \(\frac{9}{10}\), \(\frac{5}{10}\), \(\frac{7}{10}\), \(\frac{3}{10}\)
D. \(\frac{3}{10}\), \(\frac{7}{10}\), \(\frac{9}{10}\), \(\frac{5}{10}\)

5. Wanjala bought \(\frac{3}{4}\)kg of meat. He used \(\frac{1}{2}\)kg of the meat. How many kg remained?

A. \(\frac{1}{4}\) kg
B. \(\frac{1}{2}\) kg
C. \(\frac{1}{3}\) kg
D. \(\frac{2}{3}\) kg

6. A grade 6 learner measured the height of a tree and found it to be 0.25m. Express the height as a fraction.

A. \(\frac{1}{25}\)m
B. \(\frac{25}{100}\)m
C. \(\frac{1}{4}\)m
D. \(\frac{3}{4}\)m

7. Solve: \(125 \div 5 \times 7 + 5 - 80\)

A. 100
B. 185
C. 25
D. 175

Answer :

Let's go through each question step by step.

  1. Total Distance Covered by Bus and Car

    The bus covered 20 km and 60 meters, and the car covered 25 km and 30 meters.

    • Convert kilometers to meters: 1 km = 1000 meters.

    • Bus distance in meters: [tex]20,060 \text{ meters}[/tex]

    • Car distance in meters: [tex]25,030 \text{ meters}[/tex]

    Add these distances together:

    [tex]20,060 + 25,030 = 45,090 \text{ meters}[/tex]

    Convert back to kilometers and meters: 45 km and 90 meters.

    Correct option: A. 45km 90m

  2. Name of the Angle

    Without the specific diagram, we assume an angle name from provided options. Generally for recognition:

    • Acute angle: less than 90 degrees.
    • Right angle: exactly 90 degrees.
    • Reflex angle: greater than 180 degrees.
    • Obtuse angle: between 90 and 180 degrees.

    Since there's no diagram, this cannot be answered with certainty.

  3. Bags of Carrots

    Total bags = 60, and we know 20 bags of maize and 18 bags of beans.

    Let the bags of carrots be [tex]y[/tex].

    Solve for [tex]y[/tex]:

    [tex]20 + 18 + y = 60[/tex]

    [tex]y = 60 - 38 = 22[/tex]

    We need to find how many more bags of carrots than bags of maize:

    [tex]22 - 20 = 2[/tex]

    Correct option: C. 2

  4. Arrangement of Fractions in Ascending Order

    Fractions given: [tex]\frac{3}{10}[/tex], [tex]\frac{7}{10}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{9}{10}[/tex]

    In ascending order:

    [tex]\frac{3}{10}, \frac{5}{10}, \frac{7}{10}, \frac{9}{10}[/tex]

    Correct option: B. [tex]\frac{3}{10}, \frac{5}{10}, \frac{7}{10}, \frac{9}{10}[/tex]

  5. Meat Remaining

    Wanjala has [tex]\frac{3}{4}[/tex] kg of meat and uses [tex]\frac{1}{2}[/tex] kg.

    Remaining meat:

    [tex]\frac{3}{4} - \frac{1}{2}[/tex]

    Convert [tex]\frac{1}{2} = \frac{2}{4}[/tex]

    [tex]\frac{3}{4} - \frac{2}{4} = \frac{1}{4}[/tex] kg remaining

    Correct option: A. [tex]\frac{1}{4}[/tex] kg

  6. Expressing Height as a Fraction

    The height is 0.25 meters.

    Convert to a fraction:

    [tex]0.25 = \frac{25}{100} = \frac{1}{4}[/tex]

    Correct option: C. [tex]\frac{1}{4}[/tex]m

  7. Solve the Expression

    Solve: [tex]125 \div 5 \times 7 + 5 - 80[/tex]

    Follow the order of operations (PEMDAS/BODMAS):

    • Division first: [tex]125 \div 5 = 25[/tex]

    • Multiplication next: [tex]25 \times 7 = 175[/tex]

    • Addition: [tex]175 + 5 = 180[/tex]

    • Subtraction: [tex]180 - 80 = 100[/tex]

    Correct option: A. 100

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