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BECE Mathematics 2023 Objective Past Questions

All 120 questions from the Basic Education Certificate Examination (Junior WAEC) (BECE) Mathematics 2023 Objective paper, with the correct answer and a full explanation for each. Free, no signup needed.

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Mathematics 2023 Objective — Question 3

Express 61782 in standard form.

  • A. 6.1782 × 10⁻⁴
  • B. 6.1782 × 10⁻²
  • C. 6.1782 × 10⁰
  • D. 6.1782 × 10²
  • E. 6.1782 × 10⁴Correct

Explanation

Move the decimal point 4 places left: 61782 = 6.1782 × 10⁴.

Mathematics 2023 Objective — Question 4

Express 0.0030752 to three significant figures.

  • A. 0.003
  • B. 0.003075
  • C. 0.00308Correct
  • D. 0.0031
  • E. 0.00375

Explanation

First three significant figures are 3, 0, 7; the next digit 5 rounds up, so 0.00308.

Mathematics 2023 Objective — Question 19

If 6 men can do a job in 4 days, how many days will it take 8 men to do the same job if they work at the same rate?

  • A. 2
  • B. 3Correct
  • C. 4
  • D. 6
  • E. 8

Explanation

6 × 4 = 24 man-days. 24 ÷ 8 = 3 days.

Mathematics 2023 Objective — Question 20

The ratio of boys to girls in a mixed school is 4:5. If there are 375 girls in the school, how many are boys?

  • A. 275
  • B. 300Correct
  • C. 325
  • D. 375
  • E. 675

Explanation

Boys = 4/5 × 375 = 300.

Mathematics 2023 Objective — Question 21

At what rate per annum will ₦1,600 give ₦400.00 as simple interest in 2 years?

  • A. 5.5%
  • B. 7.2%
  • C. 8.0%
  • D. 10.5%
  • E. 12.5%Correct

Explanation

R = (100 × I)/(P × T) = (100 × 400)/(1600 × 2) = 12.5%.

Mathematics 2023 Objective — Question 22

A trader borrows ₦200,000 at a compound interest of 3% per annum. How much does he pay back after 2 years?

  • A. ₦12,180.00
  • B. ₦121,180.00
  • C. ₦206,000.00
  • D. ₦206,180.00
  • E. ₦212,180.00Correct

Explanation

A = 200,000 × (1.03)² = 200,000 × 1.0609 = ₦212,180.

Mathematics 2023 Objective — Question 23

If 6 packets of cream cost ₦450.00, find the cost of 3 packets.

  • A. ₦200.00
  • B. ₦215.00
  • C. ₦225.00Correct
  • D. ₦335.00
  • E. ₦345.00

Explanation

3 packets = half of 6 packets = 450 ÷ 2 = ₦225.

Mathematics 2023 Objective — Question 24

Find the amount of energy in units used by a customer, if his present and previous meter readings are 85,402 units and 74,012 units respectively.

  • A. 12,500
  • B. 11,390Correct
  • C. 10,400
  • D. 9,000
  • E. 8,000

Explanation

85,402 − 74,012 = 11,390 units.

Mathematics 2023 Objective — Question 26

The area of a rhombus is 48cm². If one of its diagonals is 8cm, find the length of the other.

  • A. 6cm
  • B. 8cm
  • C. 10cm
  • D. 12cmCorrect
  • E. 15cm

Explanation

Area = ½ × d₁ × d₂. 48 = ½ × 8 × d₂, so d₂ = 12cm.

Mathematics 2023 Objective — Question 29

Which of the following gives the volume of a cylinder of height h and base radius r?

  • A. πr²hCorrect
  • B. 2πrh
  • C. 3πrh
  • D. 1/3 πr²h
  • E. 3/4 πr³

Explanation

Volume of a cylinder = base area × height = πr²h.

Mathematics 2023 Objective — Question 30

If the bearing of A from B is 240°, find the bearing of B and A.

  • A. 150°
  • B. 120°
  • C. 090°
  • D. 060°Correct
  • E. 030°

Explanation

Bearing of B from A = 240° − 180° = 060°.

Mathematics 2023 Objective — Question 34

Find the volume of a cuboid whose length, breadth and height are 4cm, 5cm and 6cm respectively.

  • A. 20cm³
  • B. 30cm³
  • C. 60cm³
  • D. 120cm³Correct
  • E. 130cm³

Explanation

V = 4 × 5 × 6 = 120cm³.

Mathematics 2023 Objective — Question 35

Find the value of z in the figure below.

Diagram for question 35
  • A. 20°
  • B. 40°
  • C. 70°
  • D. 110°
  • E. 60°Correct

Explanation

The angle opposite 110° equals 110°, which is 50° + z. So z = 110° − 50° = 60°.

Mathematics 2023 Objective — Question 36

Calculate the value of y in the figure below.

Diagram for question 36
  • A. 18°
  • B. 33°Correct
  • C. 36°
  • D. 108°

Explanation

Angle on the lower parallel line next to 147° is 180° − 147° = 33°. y is alternate to it, so y = 33°.

Mathematics 2023 Objective — Question 37

The sum of the interior angles of a polygon of n-side is 180°. Find the value of n.

  • A. 5
  • B. 4
  • C. 3Correct
  • D. 2

Explanation

(n − 2) × 180° = 180°, so n − 2 = 1 and n = 3.

Mathematics 2023 Objective — Question 38

Determine the number of sides of a regular polygon whose interior angles are 90° each.

  • A. 3
  • B. 4Correct
  • C. 6
  • D. 8

Explanation

Exterior angle = 180° − 90° = 90°. Sides = 360° ÷ 90° = 4.

Mathematics 2023 Objective — Question 39

A goat is tied to a peg on the ground with a rope 7m long. Find the maximum area of the ground the goat can graze on. (Take π = 22/7)

  • A. 154m²Correct
  • B. 149 m²
  • C. 89 m²
  • D. 49 m²
  • E. 44 m²

Explanation

Area = πr² = 22/7 × 7 × 7 = 154m².

Mathematics 2023 Objective — Question 40

The figure below is a sport field with a rectangular centre and a semi-circular area at each end. Find the area of the field, correct to one decimal place. (Take π = 22/7)

Diagram for question 40
  • A. 201.5m²
  • B. 151.5m²
  • C. 101.5m²Correct
  • D. 50.6m²
  • E. 30.3m²

Explanation

Rectangle = 9 × 7 = 63m². Two semicircles = one circle of radius 3.5m = 22/7 × 3.5 × 3.5 = 38.5m². Total = 101.5m².

Mathematics 2023 Objective — Question 41

Use the similar triangles below to answer questions 41 and 42. Calculate ∣ST∣.

Diagram for question 41
  • A. 4cm
  • B. 8cm
  • C. 9cmCorrect
  • D. 10cm
  • E. 12cm

Explanation

S matches W, U matches V and T matches X. Scale factor = VW/SU = 8/6 = 4/3. WX = ST × 4/3, so ST = 12 × 3/4 = 9cm.

Mathematics 2023 Objective — Question 43

The construction below represents angle.

Diagram for question 43
  • A. 180°
  • B. 90°
  • C. 60°Correct
  • D. 45°
  • E. 30°

Explanation

Two arcs of the same radius, one centred at A and one centred where the first arc cuts AB, meet at a point. That construction gives 60°.

Mathematics 2023 Objective — Question 44

Calculate the area of the shaded region in the figure below. (Take π = 22/7)

Diagram for question 44
  • A. 87.4cm²
  • B. 61.5cm²Correct
  • C. 49.7cm²
  • D. 35.6cm²
  • E. 20.5cm²

Explanation

Square = 10 × 10 = 100cm². Circle (r = 3.5cm) = 22/7 × 3.5 × 3.5 = 38.5cm². Shaded = 100 − 38.5 = 61.5cm².

Mathematics 2023 Objective — Question 45

Two similar cylindrical tins are 6cm and 9cm high. If the smaller tin has diameter 8cm, find diameter of the bigger one.

  • A. 6cm
  • B. 7cm
  • C. 8cm
  • D. 12cmCorrect
  • E. 14cm

Explanation

Ratio of corresponding lengths = 9/6 = 3/2. Diameter = 8 × 3/2 = 12cm.

Mathematics 2023 Objective — Question 46

Use the figure below to answer questions 46 and 48. Find ∣AB∣.

Diagram for question 46
  • A. 10√2 m
  • B. 10√3 mCorrect
  • C. 10√5 m
  • D. 13 m
  • E. 15 m

Explanation

In right-angled triangle ABC, tan 60° = AB/BC. AB = 10 × √3 = 10√3 m.

Mathematics 2023 Objective — Question 49

Which of the following angles cannot be constructed using a ruler and a pair of compasses only?

  • A. 30°
  • B. 45°
  • C. 70°Correct
  • D. 90°
  • E. 120°

Explanation

30°, 45°, 90° and 120° can be built from 60° and 90° by bisecting or adding. 70° cannot.

Mathematics 2023 Objective — Question 50

Find the area of the figure below.

Diagram for question 50
  • A. 4√3 m²
  • B. 8√3 m²Correct
  • C. 10√3 m²
  • D. 12√3 m²
  • E. 16√3 m²

Explanation

Right angle at C, AB = 8m and AC = 4√3m. BC = 8 sin 30° = 4m. Area = ½ × 4 × 4√3 = 8√3 m².

Mathematics 2023 Objective — Question 51

Find the radius of a circle whose circumstance is 22cm. (Take π = 22/7)

  • A. 22.0cm
  • B. 11.0cm
  • C. 7.0cm
  • D. 3.5cmCorrect
  • E. 3.0cm

Explanation

2πr = 22, so r = 22 ÷ (2 × 22/7) = 3.5cm.

Mathematics 2023 Objective — Question 53

The angle of elevation of the top X of a vertical pole from a point P on the level ground is 45°. If the distance from P to the foot of the pole is 7m, find the height of the pole.

  • A. 12m
  • B. 10m
  • C. 7mCorrect
  • D. 5m
  • E. 3m

Explanation

tan 45° = height/7, so height = 7 × 1 = 7m.

Mathematics 2023 Objective — Question 54

Use the diagram below to answer questions 54 and 55. Find the size of ∠ROQ.

Diagram for question 54
  • A. 45°
  • B. 90°Correct
  • C. 120°
  • D. 135°
  • E. 180°

Explanation

OP is perpendicular to AB. OR and OQ bisect ∠AOP and ∠POB, so ∠ROQ = 45° + 45° = 90°.

Mathematics 2023 Objective — Question 56

Find the area of the figure below.

Diagram for question 56
  • A. 21 square units
  • B. 20 square units
  • C. 18 square unitsCorrect
  • D. 15 square units
  • E. 14 square units

Explanation

The altitude is 4 and the right-hand side is 5, so the right part of the base is 3 (3-4-5 triangle). Base = 6 + 3 = 9. Area = ½ × 9 × 4 = 18 square units.

Mathematics 2023 Objective — Question 58

In the figure below, find the side marked x.

Diagram for question 58
  • A. 8cm
  • B. 9cm
  • C. 16cm
  • D. 17cmCorrect
  • E. 21cm

Explanation

Height² = 10² − 6² = 64, so height = 8cm. x² = 15² + 8² = 289, so x = 17cm.

Mathematics 2023 Objective — Question 59

The perimeter of a rectangular lawn is 32cm. If the difference between its length and breadth is 2cm, find the area of the lawn.

  • A. 42cm²
  • B. 49cm²
  • C. 54cm²
  • D. 63cm²Correct
  • E. 64cm²

Explanation

l + b = 16 and l − b = 2, so l = 9 and b = 7. Area = 9 × 7 = 63cm².

Mathematics 2023 Objective — Question 60

In the figure below, lines AB and CD are parallel. Which of the following is not true?

Diagram for question 60
  • A. a = bCorrect
  • B. a = c
  • C. b = c
  • D. b = d
  • E. d + a = 180

Explanation

a and c are vertically opposite (equal). b and c are corresponding angles (equal). b and d are alternate angles (equal). d + a = 180° (angles on a straight line). a and b are co-interior angles, so a + b = 180°; a = b is not true.

Mathematics 2023 Objective — Question 61

Factorize mx − my − nx + ny.

  • A. (m + n)(x + y)
  • B. (m + n)(x − y)
  • C. (m − n)(x + y)
  • D. (m − n)(x − y)Correct
  • E. (n − m)(x − y)

Explanation

m(x − y) − n(x − y) = (m − n)(x − y).

Mathematics 2023 Objective — Question 62

Factorize 3a² + 7a − 6.

  • A. (a − 3)(a + 3)
  • B. (3a + 2)(a + 3)
  • C. (3a − 2)(a + 3)Correct
  • D. (a + 2)(3a − 3)
  • E. (3a + 2)(a − 3)

Explanation

3a² + 9a − 2a − 6 = 3a(a + 3) − 2(a + 3) = (3a − 2)(a + 3).

Mathematics 2023 Objective — Question 63

Simplify 3/5x − (2x − 1)/x.

  • A. (4 − 2x)/5x
  • B. (4 + 2x)/5x
  • C. (2 − 10x)/5x
  • D. (8 − 10x)/5x

Explanation

LCD = 5x: [3 − 5(2x − 1)]/5x = (3 − 10x + 5)/5x = (8 − 10x)/5x.

Mathematics 2023 Objective — Question 68

Solve the equations 2x + y = 4 and x + y = 2 simultaneously.

  • A. x = −1, y = −1
  • B. x = 0, y = −2
  • C. x = 1, y = 0
  • D. x = 2, y = 0Correct
  • E. x = 2, y = 2

Explanation

Subtract: (2x + y) − (x + y) = 4 − 2, so x = 2. Then y = 2 − 2 = 0.

Mathematics 2023 Objective — Question 69

If x = 24y/pr, make y the subject of the relation.

  • A. y = 24x/pr
  • B. y = xpr/24Correct
  • C. y = pr/24
  • D. y = px/24

Explanation

Multiply both sides by pr: xpr = 24y, so y = xpr/24.

Mathematics 2023 Objective — Question 71

Expand (x + 2)(2x − 1).

  • A. 2x² + 3x − 2Correct
  • B. 2x² + 3x + 2
  • C. 2x² − 3x − 2
  • D. 2x² + 5x − 2
  • E. 2x² − 5x + 2

Explanation

2x² − x + 4x − 2 = 2x² + 3x − 2.

Mathematics 2023 Objective — Question 72

Use the table below to answer questions 72 and 73 for the relation y = 2x + 5. x: −4, −3, −2, −1, 0, 1, 2, 3, 4 y: −3, A, 1, B, 5, C, 9, D, 13 Find the value of A.

  • A. −3
  • B. −1Correct
  • C. 1
  • D. 2
  • E. 3

Explanation

A = 2(−3) + 5 = −1.

Mathematics 2023 Objective — Question 74

The figure below represents which of the following inequalities?

Diagram for question 74
  • A. x < −2
  • B. x ≤ −2
  • C. x > −2
  • D. x ≥ −2Correct
  • E. x > 3

Explanation

The solid dot at −2 means −2 is included, and the arrow points to the right, so x ≥ −2.

Mathematics 2023 Objective — Question 77

Solve the simultaneous equations; 3x + 2y = 6, 2x + y = 4.

  • A. x = −1, y = −1
  • B. x = 0, y = −1
  • C. x = −1, y = 0
  • D. x = 0, y = 2
  • E. x = 2, y = 0Correct

Explanation

From the second equation y = 4 − 2x. Then 3x + 8 − 4x = 6, so x = 2 and y = 0.

Mathematics 2023 Objective — Question 80

If 3 is divided by the sum of x and 1, the result equals to 3 divided by 5. Find the value of x.

  • A. −2
  • B. 1
  • C. 2
  • D. 3
  • E. 4Correct

Explanation

3/(x + 1) = 3/5, so x + 1 = 5 and x = 4.

Mathematics 2023 Objective — Question 82

Ade's age is 56 years more than his son. If the son's age is w years, find the value of w when the sum of their ages is 76 years.

  • A. 6
  • B. 7
  • C. 8
  • D. 9
  • E. 10Correct

Explanation

w + (w + 56) = 76, so 2w = 20 and w = 10.

Mathematics 2023 Objective — Question 84

Expand (2a − 3)(1 + a).

  • A. 2a² − a + 3
  • B. 2a² − a − 3Correct
  • C. 2a² + 5a + 3
  • D. 2a² + a − 3
  • E. 2a² − 5a − 3

Explanation

2a + 2a² − 3 − 3a = 2a² − a − 3.

Mathematics 2023 Objective — Question 87

Factorize 16a² − 9b².

  • A. (4a + 3b)(4a + 3b)
  • B. (4a + 3b)(4a − 3b)Correct
  • C. (4b + 3a)(4b − 3a)
  • D. (4a − 3b)(4a − 3b)
  • E. (4b − 3a)(4b − 3a)

Explanation

Difference of two squares: (4a)² − (3b)² = (4a + 3b)(4a − 3b).

Mathematics 2023 Objective — Question 88

Find the coefficient of xy in the expansion of (3x + 2y)(5x − 3y).

  • A. 9
  • B. −6
  • C. 1Correct
  • D. 10
  • E. 15

Explanation

xy terms: 3x(−3y) + 2y(5x) = −9xy + 10xy = xy. Coefficient = 1.

Mathematics 2023 Objective — Question 89

Express 3/y − 5/y + 2 as a single fraction.

  • A. 2(y − 1)/yCorrect
  • B. 2(y + 1)/y
  • C. 2(1 − y)/y
  • D. 3(y − 1)/y
  • E. 5(y + 1)/y

Explanation

(3 − 5 + 2y)/y = (2y − 2)/y = 2(y − 1)/y.

Mathematics 2023 Objective — Question 90

Simplify (x + 3)/3 + (x − 3)/4.

  • A. (7 − 3x)/4
  • B. (7x − 3)/4
  • C. (7x + 3)/4
  • D. (7x + 3)/12Correct
  • E. (7x − 3)/12

Explanation

LCD = 12: [4(x + 3) + 3(x − 3)]/12 = (4x + 12 + 3x − 9)/12 = (7x + 3)/12.

Mathematics 2023 Objective — Question 91

If 3/8 of Olu's monthly savings is ₦24,000.00, find his monthly savings.

  • A. ₦7,200.00
  • B. ₦9,000.00
  • C. ₦5,200.00
  • D. ₦64,000.00Correct
  • E. ₦80,000.00

Explanation

Savings = 24,000 ÷ 3 × 8 = ₦64,000.

Mathematics 2023 Objective — Question 92

Find the coefficient of x in the expansion of (2x + 1)(1 − 2x).

  • A. −2
  • B. −1
  • C. 0Correct
  • D. 1
  • E. 2

Explanation

(2x + 1)(1 − 2x) = 2x − 4x² + 1 − 2x = 1 − 4x². There is no x term, so the coefficient is 0.

Mathematics 2023 Objective — Question 95

Two-fifths of a certain number is greater than 8. Find the range of values of the number.

  • A. x ≥ 40
  • B. x > 20Correct
  • C. x > 10
  • D. x > 40
  • E. x ≥ 20

Explanation

2x/5 > 8, so 2x > 40 and x > 20.

Mathematics 2023 Objective — Question 96

If a certain number y is tripled, the result is less than 18. Find the range of values of the number.

  • A. y < 18
  • B. y < 12
  • C. y < 6Correct
  • D. y < 3
  • E. y < 1

Explanation

3y < 18, so y < 6.

Mathematics 2023 Objective — Question 98

A certain number of boys were to share 160 oranges. 5 boys left and the rest shared the oranges, each of them got 8 oranges. How many boys were present originally?

  • A. 20
  • B. 25Correct
  • C. 32
  • D. 40
  • E. 42

Explanation

160 ÷ 8 = 20 boys shared the oranges. Original number = 20 + 5 = 25.

Mathematics 2023 Objective — Question 99

If x varies directly as y and x = 2 when y = 3, find the formular connecting x and y.

  • A. x = 6y
  • B. x = 2y
  • C. x = 2y/3Correct
  • D. x = 2/3y
  • E. x = 3/2y

Explanation

x = ky. 2 = 3k, so k = 2/3. Therefore x = 2y/3.

Mathematics 2023 Objective — Question 100

Three pens and five rulers cost ₦65.00 while three pens and a ruler cost ₦25.00. Find the cost of a pen and a ruler respectively.

  • A. ₦3.00, ₦3.00
  • B. ₦3.00, ₦5.00
  • C. ₦3.00, ₦10.00
  • D. ₦5.00, ₦10.00Correct
  • E. ₦5.00, ₦12.00

Explanation

Subtract: 4 rulers = 65 − 25 = ₦40, so a ruler = ₦10. Then 3 pens = 25 − 10 = ₦15, so a pen = ₦5.

Mathematics 2023 Objective — Question 103

The branch of Mathematics that deals with collection of data is known as ______.

  • A. algebra
  • B. calculus
  • C. mensuration
  • D. statisticsCorrect
  • E. trigonometry

Explanation

Collection, organisation and interpretation of data is statistics.

Mathematics 2023 Objective — Question 104

In a class, the youngest student is 12 years while oldest is x years. If the age range is 7 years, find the value of x.

  • A. 5
  • B. 7
  • C. 12
  • D. 19Correct
  • E. 26

Explanation

Range = oldest − youngest. 7 = x − 12, so x = 19.

Mathematics 2023 Objective — Question 106

Find the median of the following set of numbers; 48, 58, 65, 43, 60, 53, 68, 57, 62, 47, 45.

  • A. 22
  • B. 43
  • C. 48
  • D. 57Correct
  • E. 68

Explanation

Arranged: 43, 45, 47, 48, 53, 57, 58, 60, 62, 65, 68. The middle (6th) value is 57.

Mathematics 2023 Objective — Question 107

The data below shows the weight in kg of 20 students: 70 50 70 50 40 58 47 59 50 50 58 70 56 55 50 50 40 37 50 80 Find the modal weight.

  • A. 40
  • B. 50Correct
  • C. 60
  • D. 70
  • E. 80

Explanation

50 appears 7 times, more than any other weight. The mode is 50.

Mathematics 2023 Objective — Question 108

If 9 is the mean of the following set of numbers 1, 2, x, 11, 13, 14, find the value of x.

  • A. 5
  • B. 7
  • C. 9
  • D. 13Correct
  • E. 15

Explanation

Sum = 9 × 6 = 54. 1 + 2 + 11 + 13 + 14 = 41, so x = 54 − 41 = 13.

Mathematics 2023 Objective — Question 109

The scores of students in a given test are as follows; 2, 3, 4, 5, 6, 3, 4, 5. Find the median.

  • A. 2
  • B. 3
  • C. 4Correct
  • D. 5
  • E. 6

Explanation

Arranged: 2, 3, 3, 4, 4, 5, 5, 6. Median = (4 + 4)/2 = 4.

Mathematics 2023 Objective — Question 110

The pie-chart below shows the distribution of 600 students into different houses in a school sport competition. Use the chart to answer questions 110 to 112. Calculate the angle of the sector for blue house.

Diagram for question 110
  • A. 36°
  • B. 42°
  • C. 45°
  • D. 60°Correct
  • E. 72°

Explanation

Angles: yellow 72° + red 84° + white 36° + green 108° = 300°. Blue = 360° − 300° = 60°.

Mathematics 2023 Objective — Question 113

Use the frequency table below to answer questions 113 and 114. Score (x): 0, 1, 2, 3, 4, 5 frequency (f): 2, 4, 3, 3, 6, 2 Calculate the mode.

  • A. 1
  • B. 2
  • C. 3
  • D. 4Correct
  • E. 6

Explanation

The highest frequency is 6, which belongs to the score 4. Mode = 4.

Mathematics 2023 Objective — Question 114

Find the median.

  • A. 2
  • B. 3Correct
  • C. 4
  • D. 5
  • E. 6

Explanation

Total frequency = 20. Cumulative frequencies: 2, 6, 9, 12, 18, 20. The 10th and 11th scores are both 3, so the median = 3.

Mathematics 2023 Objective — Question 115

The probability that it will rain in Minna today is 1/5. What is the probability that it will not rain?

  • A. 1
  • B. 4/5Correct
  • C. 3/5
  • D. 2/5
  • E. 1/5

Explanation

P(not rain) = 1 − 1/5 = 4/5.

Mathematics 2023 Objective — Question 118

Use the information below to answer questions 118 and 119. A bag contains 20 red balls. A child picks out one of the balls at random. Determine the probability of picking a red ball?

  • A. 1Correct
  • B. 2/3
  • C. 1/2
  • D. 1/4
  • E. 0

Explanation

All 20 balls are red, so the picked ball is certainly red. P = 20/20 = 1.

Mathematics 2023 Objective — Question 120

In a pie chart, four fruits are represented namely; orange, mango, apple and banana. If the sectorial angles of orange, mango and apple are 120°, 90° and 100° respectively, find the sectorial angle of banana.

  • A. 20°
  • B. 30°
  • C. 50°Correct
  • D. 80°
  • E. 130°

Explanation

Banana = 360° − (120° + 90° + 100°) = 360° − 310° = 50°.

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